@preamble{
"\newcommand\nosortop[1]{}"
"\def\cprime{$'$} "
}
@toappear{JCT-A22
AUTHOR = {Cutolo, Giovanni},
TITLE = {On a construction by Giudici and Parker on commuting graphs of groups},
JOURNAL = {J. Combin. Theory Ser. A},
FJOURNAL = {Journal of Combinatorial Theory Series A},
DOI = {10.1016/j.jcta.2022.105666},
}
@article{JAlg20
AUTHOR = {Cutolo, Giovanni and Leone, Antonella},
TITLE = {Permutable subgroups and the Maier-Schmid theorem for nilpotent-by-finite groups},
JOURNAL = {J. Algebra},
FJOURNAL = {Journal of Algebra},
VOLUME = {546},
YEAR = {2020},
PAGES = {723--733},
ISSN = {0021-8693},
DOI = {10.1016/j.jalgebra.2019.11.008},
}
@article{JA18
AUTHOR = {Arikan, Ahmet and Cutolo, Giovanni and Robinson, Derek J. S.},
TITLE = {On groups that are dominated by countably
many proper subgroups},
JOURNAL = {J. Algebra},
FJOURNAL = {Journal of Algebra},
VOLUME = {509},
YEAR = {2018},
PAGES = {445--466},
DOI = {10.1016/j.jalgebra.2018.05.018},
URL = {https://doi.org/10.1016/j.jalgebra.2018.05.018},
}
@article{JGT18
AUTHOR = {Arikan, Ahmet and Cutolo, Giovanni and Robinson, Derek J. S.},
TITLE = {On groups with countably many maximal subgroups},
JOURNAL = {J. Group Theory},
FJOURNAL = {Journal of Group Theory},
VOLUME = {21},
YEAR = {2018},
NUMBER = {2},
PAGES = {253--271},
ISSN = {1433-5883},
MRCLASS = {20E07 (20C07 20F16 20F19)},
DOI = {10.1515/jgth-2017-0035},
URL = {https://doi.org/10.1515/jgth-2017-0035},
PUB_ONLINE = {17-OCT-2018},
}
@article{JAlg16
AUTHOR = {Cutolo, Giovanni and Smith, Howard},
TITLE = {Groups with countably many subgroups},
JOURNAL = {J. Algebra},
FJOURNAL = {Journal of Algebra},
VOLUME = {448},
YEAR = {2016},
PAGES = {399--417},
ISSN = {0021-8693},
MRCLASS = {20E07 (20F16 20F19)},
DOI = {10.1016/j.jalgebra.2015.10.007},
URL = {http://dx.doi.org/10.1016/j.jalgebra.2015.10.007},
PUB_ONLINE = {3-DEC-2015},
}
@article{JAlg15
AUTHOR = {Cutolo, Giovanni and Leone, Antonella},
TITLE = {A note on torsion-free locally cyclic quasinormal subgroups},
JOURNAL = {J. Algebra},
FJOURNAL = {Journal of Algebra},
VOLUME = {424},
YEAR = {2015},
PAGES = {464--472},
ISSN = {0021-8693},
MRCLASS = {20E15},
DOI = {10.1016/j.jalgebra.2014.09.023},
URL = {http://dx.doi.org/10.1016/j.jalgebra.2014.09.023},
PUB_ONLINE = {23-DEC-2014},
}
@article{AC14
AUTHOR = {Celentani, Maria Rosaria and Cutolo, Giovanni and Leone, Antonella},
TITLE = {Groups with cyclic outer automizers},
JOURNAL = {Algebra Colloq.},
FJOURNAL = {Algebra Colloquium},
VOLUME = {21},
YEAR = {2014},
NUMBER = {3},
PAGES = {381--398},
DOI = {10.1142/S1005386714000339},
}
@article{IJGT12
AUTHOR = {Cutolo, Giovanni and Smith, Howard},
TITLE = {Locally finite {$p$}-groups with all subgroups either subnormal
or nilpotent-by-{C}hernikov},
JOURNAL = {Int. J. Group Theory},
FJOURNAL = {International Journal of Group Theory},
VOLUME = {1},
YEAR = {2012},
NUMBER = {1},
PAGES = {39--45},
ISSN = {2251-7650},
DOI = {10.22108/ijgt.2012.471},
MRCLASS = {20F50},
}
@article{CEJM12
AUTHOR = {Cutolo, Giovanni and Smith, Howard},
TITLE = {Locally finite groups with all subgroups subnormal or
nilpotent-by-{C}hernikov},
JOURNAL = {Centr. Eur. J. Math.},
FJOURNAL = {Central European Journal of Mathematics},
VOLUME = {10},
YEAR = {2012},
NUMBER = {3},
PAGES = {942--949},
DOI = {10.2478/s11533-012-0020-z},
}
@article{CommAlg12
AUTHOR = {Cutolo, Giovanni },
TITLE = {Groups with finite outer automizers},
JOURNAL = {Comm. Algebra},
FJOURNAL = {Communications in Algebra},
VOLUME = {40},
YEAR = {2012},
NUMBER = {4},
PAGES = {1293--1303},
DOI = {10.1080/00927872.2010.550902},
}
@article{JAlg10
AUTHOR = {Cutolo, Giovanni and Nicotera, Chiara},
TITLE = {Verbal sets and cyclic coverings},
JOURNAL = {J. Algebra},
FJOURNAL = {Journal of Algebra},
VOLUME = {324},
YEAR = {2010},
NUMBER = {7},
PAGES = {1616--1624},
ISSN = {0021-8693},
MRCLASS = {20E10 (20F14)},
DOI = {10.1016/j.jalgebra.2010.06.025},
URL = {http://dx.doi.org/10.1016/j.jalgebra.2010.06.025},
}
@article{BAusMS10
AUTHOR = {Cutolo, Giovanni and Smith, Howard and Wiegold, James},
TITLE = {On finite {$p$}-groups with subgroups of breadth 1},
JOURNAL = {Bull. Aus. Math. Soc.},
FJOURNAL = {Bulletin of the Australian Mathematical Society},
VOLUME = {82},
YEAR = {2010},
NUMBER = {1},
PAGES = {84--98},
ISSN = {0004-9727},
MRCLASS = {20D15 (20D25 20E45)},
DOI = {10.1017/S0004972710000055},
URL = {http://dx.doi.org/10.1017/S0004972710000055},
}
@article{GMJ10
AUTHOR = {Cutolo, Giovanni and Smith, Howard},
TITLE = {A note on polycyclic residually finite-{$p$} groups},
JOURNAL = {Glasg. Math. J.},
FJOURNAL = {Glasgow Mathematical Journal},
VOLUME = {52},
YEAR = {2010},
NUMBER = {1},
PAGES = {137--143},
ISSN = {0017-0895},
MRCLASS = {20F16 (20E26)},
DOI = {10.1017/S001708950999022X},
URL = {http://dx.doi.org/10.1017/S001708950999022X},
}
@article{AdM09
AUTHOR = {Cutolo, Giovanni and Smith, Howard},
TITLE = {Residually finite subgroups of some countable {M}c{L}ain groups},
JOURNAL = {Arch. Math. (Basel)},
FJOURNAL = {Archiv der Mathematik},
VOLUME = {93},
YEAR = {2009},
NUMBER = {6},
PAGES = {513--520},
ISSN = {0003-889X},
MRCLASS = {20F19 (20E26 20H25)},
DOI = {10.1007/s00013-009-0061-0},
URL = {http://dx.doi.org/10.1007/s00013-009-0061-0},
}
@article{CommAlg09
AUTHOR = {Celentani, Maria Rosaria and Cutolo, Giovanni and Leone, Antonella},
TITLE = {Groups whose infinite subgroups are centralizers},
JOURNAL = {Comm. Algebra},
FJOURNAL = {Communications in Algebra},
VOLUME = {37},
YEAR = {2009},
NUMBER = {7},
PAGES = {2419--2430},
ISSN = {0092-7872},
MRCLASS = {20E07 (20E15 20F50)},
DOI = {10.1080/00927870802304697},
URL = {http://dx.doi.org/10.1080/00927870802304697},
}
@article{JGT09
AUTHOR = {Cutolo, Giovanni and Smith, Howard and Wiegold, James},
TITLE = {Finiteness conditions on characteristic closures and cores of
subgroups},
JOURNAL = {J. Group Theory},
FJOURNAL = {Journal of Group Theory},
VOLUME = {12},
YEAR = {2009},
NUMBER = {4},
PAGES = {591--610},
ISSN = {1433-5883},
MRCLASS = {20F24 (20E34)},
DOI = {10.1515/JGT.2008.092},
URL = {http://dx.doi.org/10.1515/JGT.2008.092},
}
@article{JAlg06
AUTHOR = {Cutolo, Giovanni and Smith, Howard and Wiegold, James},
TITLE = {The nilpotency class of {$p$}-groups in which subgroups have few conjugates},
JOURNAL = {J. Algebra},
FJOURNAL = {Journal of Algebra},
VOLUME = {300},
YEAR = {2006},
NUMBER = {1},
PAGES = {160--170},
ISSN = {0021-8693},
DOI = {10.1016/j.jalgebra.2006.02.004},
MRCLASS = {20D15},
}
@article{PD06
AUTHOR = {Cutolo, Giovanni},
TITLE = {A remark about central automorphisms of groups},
JOURNAL = {Rend. Sem. Mat. Univ. Padova},
FJOURNAL = {Rendiconti del Seminario Matematico della Universit\`a di
Padova. The Mathematical Journal of the University of Padova},
VOLUME = {115},
YEAR = {2006},
PAGES = {199--203},
ISSN = {0041-8994},
MRCLASS = {20E36 (20F28)},
extra-sort-key = {30},
}
@article{JGT06
AUTHOR = {Cutolo, Giovanni},
TITLE = {On a question about automorphisms of finite {$p$}-groups},
JOURNAL = {J. Group Theory},
FJOURNAL = {Journal of Group Theory},
VOLUME = {9},
YEAR = {2006},
NUMBER = {2},
PAGES = {231--250},
ISSN = {1433-5883},
DOI = {10.1515/JGT.2006.016},
MRCLASS = {20D45 (20D15)},
extra-sort-key = {20},
}
@article{JAlg05
AUTHOR = {Cutolo, Giovanni and Smith, Howard and Wiegold, James},
TITLE = {Groups covered by conjugates of proper subgroups},
JOURNAL = {J. Algebra},
FJOURNAL = {Journal of Algebra},
VOLUME = {293},
YEAR = {2005},
NUMBER = {1},
PAGES = {261--268},
ISSN = {0021-8693},
DOI = {10.1016/j.jalgebra.2005.02.024},
MRCLASS = {20B99},
}
@article{JAlg04
AUTHOR = {Cutolo, Giovanni and Smith, Howard and Wiegold, James},
TITLE = {Wreath products of cyclic {$p$}-groups as automorphism groups},
JOURNAL = {J. Algebra},
FJOURNAL = {Journal of Algebra},
VOLUME = {282},
YEAR = {2004},
NUMBER = {2},
PAGES = {610--625},
ISSN = {0021-8693},
DOI = {10.1016/j.jalgebra.2003.08.023},
MRCLASS = {20E22 (20F29)},
}
@article{IJM03
AUTHOR = {Cutolo, Giovanni and Smith, Howard and Wiegold, James},
TITLE = {{$p$}-groups of maximal class as automorphism groups},
XNOTE = {Special issue in honor of Reinhold Baer (1902--1979)},
JOURNAL = {Illinois J. Math.},
FJOURNAL = {Illinois Journal of Mathematics},
VOLUME = {47},
YEAR = {2003},
NUMBER = {1-2},
PAGES = {141--156},
ISSN = {0019-2082},
URL = {http://projecteuclid.org/euclid.ijm/1258488144},
MRCLASS = {20F28 (20D15 20D45)},
}
@article{Forum03
AUTHOR = {Cutolo, Giovanni and Nicotera, Chiara},
TITLE = {Subgroups defining automorphisms in locally nilpotent groups},
JOURNAL = {Forum Math.},
FJOURNAL = {Forum Mathematicum},
VOLUME = {15},
YEAR = {2003},
NUMBER = {4},
PAGES = {489--506},
ISSN = {0933-7741},
DOI = {10.1515/form.2003.027},
MRCLASS = {20F28 (20F19)},
}
@article{MR2003g:20061
AUTHOR = {Cutolo, Giovanni and Nicotera, Chiara},
TITLE = {A note on endomorphisms of hypercentral groups},
JOURNAL = {J. Algebra},
FJOURNAL = {Journal of Algebra},
VOLUME = {255},
YEAR = {2002},
NUMBER = {1},
PAGES = {164--173},
ISSN = {0021-8693},
DOI = {10.1016/s0021-8693(02)00118-7},
MRCLASS = {20F28 (20F19)},
}
@article{MR2002g:20038
AUTHOR = {Cutolo, Giovanni and Smith, Howard and Wiegold, James},
TITLE = {On core-2 groups},
JOURNAL = {J. Algebra},
FJOURNAL = {Journal of Algebra},
VOLUME = {237},
YEAR = {2001},
NUMBER = {2},
PAGES = {813--841},
ISSN = {0021-8693},
DOI = {10.1006/jabr.2000.8599},
MRCLASS = {20D15},
}
@article{BLMS97
AUTHOR = {Cutolo, G. and Khukhro, E. I. and Lennox, J. C. and Rinauro,
S. and Smith, H. and Wiegold, James},
TITLE = {Locally finite groups all of whose subgroups are boundedly
finite over their cores},
JOURNAL = {Bull. London Math. Soc.},
FJOURNAL = {The Bulletin of the London Mathematical Society},
VOLUME = {29},
YEAR = {1997},
NUMBER = {5},
PAGES = {563--570},
ISSN = {0024-6093},
DOI = {10.1112/s0024609397003068},
MRCLASS = {20D15 (20D60 20F50)},
}
@article{JAlg97
AUTHOR = {Cutolo, G. and Khukhro, E. I. and Lennox, J. C. and Wiegold,
J. and Rinauro, S. and Smith, H.},
TITLE = {Finite core-{$p$} {$p$}-groups},
JOURNAL = {J. Algebra},
FJOURNAL = {Journal of Algebra},
VOLUME = {188},
YEAR = {1997},
NUMBER = {2},
PAGES = {701--719},
ISSN = {0021-8693},
MRCLASS = {20F50 (20D15)},
DOI = {10.1006/jabr.1996.6811},
}
@article{MR99g:20062
AUTHOR = {Cutolo, Giovanni and Lennox, John C. and Rinauro, Silvana and
Smith, Howard and Wiegold, James},
TITLE = {On infinite core-finite groups},
JOURNAL = {Proc. Roy. Irish Acad. Sect. A},
FJOURNAL = {Proceedings of the Royal Irish Academy. Section A.
Mathematical and Physical Sciences},
VOLUME = {96},
YEAR = {1996},
NUMBER = {2},
PAGES = {169--175},
ISSN = {0035-8975},
MRCLASS = {20F14},
}
@incollection{MR96f:20044
AUTHOR = {Cutolo, Giovanni and Kurdachenko, Leonid A.},
TITLE = {Weak chain conditions for non-almost normal subgroups},
BOOKTITLE = {Groups '93 Galway/St.\ Andrews, Vol.\ 1 (Galway, 1993)},
SERIES = {London Math. Soc. Lecture Note Ser.},
VOLUME = {211},
PAGES = {120--130},
PUBLISHER = {Cambridge Univ. Press},
ADDRESS = {Cambridge},
YEAR = {1995},
DOI = {10.1017/cbo9780511629280.012},
MRCLASS = {20E15 (20F16 20F24)},
}
@article{MR96e:20039
AUTHOR = {Brandl, Rolf and Cutolo, Giovanni and Rinauro, Silvana},
TITLE = {Posets of subgroups of groups and distributivity},
JOURNAL = {Boll. Un. Mat. Ital. A (7)},
FJOURNAL = {Unione Matematica Italiana. Bollettino. A. Serie VII},
VOLUME = {9},
YEAR = {1995},
NUMBER = {2},
PAGES = {217--223},
MRCLASS = {20E15 (20F22)},
}
@article{MR96h:20055
AUTHOR = {Cutolo, Giovanni and Kurdachenko, Leonid A.},
TITLE = {Groups with a maximality condition for some non-normal
subgroups},
JOURNAL = {Geom. Dedicata},
FJOURNAL = {Geometriae Dedicata},
VOLUME = {55},
YEAR = {1995},
NUMBER = {3},
PAGES = {279--292},
ISSN = {0046-5755},
DOI = {10.1007/bf01266319},
MRCLASS = {20E07 (20F19)},
}
@article{MR96c:20040
AUTHOR = {Cutolo, Giovanni},
TITLE = {On a class of generalized {$T$}-groups},
JOURNAL = {Ricerche Mat.},
FJOURNAL = {Ricerche di Matematica},
VOLUME = {42},
YEAR = {1993},
NUMBER = {2},
PAGES = {331--351},
MRCLASS = {20E15 (20F16)},
}
@article{MR94a:20060
AUTHOR = {Cutolo, Giovanni},
TITLE = {Quasi-power automorphisms of infinite groups},
JOURNAL = {Comm. Algebra},
FJOURNAL = {Communications in Algebra},
VOLUME = {21},
YEAR = {1993},
NUMBER = {3},
PAGES = {1009--1022},
ISSN = {0092-7872},
DOI = {10.1080/00927879308824604},
MRCLASS = {20F28 (20E36)},
}
@article{MR93d:20063
AUTHOR = {Cutolo, Giovanni},
TITLE = {A note on central automorphisms of groups},
JOURNAL = {Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. Rend. Lincei
(9) Mat. Appl.},
FJOURNAL = {Atti della Accademia Nazionale dei Lincei. Classe di Scienze
Fisiche, Matematiche e Naturali. Rendiconti Lincei. Serie IX.
Matematica e Applicazioni},
VOLUME = {3},
YEAR = {1992},
NUMBER = {2},
PAGES = {103--106},
ISSN = {1120-6330},
MRCLASS = {20E36},
}
@article{RMPA91
AUTHOR = {Cutolo, Giovanni},
TITLE = {On groups satisfying the maximal condition on non-normal
subgroups},
JOURNAL = {Riv. Mat. Pura Appl.},
FJOURNAL = {Rivista di Matematica Pura ed Applicata},
NUMBER = {9},
YEAR = {1991},
PAGES = {49--59},
ISSN = {1121-7111},
MRCLASS = {20E15},
}
@article{BUMI89
AUTHOR = {Cutolo, Giovanni},
TITLE = {A normalizer condition on systems of subgroups},
JOURNAL = {Boll. Un. Mat. Ital. A (7)},
FJOURNAL = {Unione Matematica Italiana. Bollettino. A. Serie VII},
VOLUME = {3},
YEAR = {1989},
NUMBER = {2},
PAGES = {215--223},
MRCLASS = {20E34},
}
