- 2
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G. Cutolo
On groups satisfying the maximal condition on non-normal
subgroups
Riv. Mat. Pura Appl., (1991),
pp. 49–59.
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- 6
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G. Cutolo and L.A. Kurdachenko
Groups with a maximality condition for some non-normal
subgroups
Geom. Dedicata, 55, (1995),
pp. 279–292.
doi: 10.1007/bf01266319
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- 8
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G. Cutolo and L.A. Kurdachenko
Weak chain conditions for non-almost normal subgroups
Groups '93 Galway/St. Andrews, Vol. 1 (Galway, 1993), London Math. Soc. Lecture Note Ser.,
vol. 211, Cambridge Univ. Press, 1995, pp. 120–130.
doi: 10.1017/cbo9780511629280.012
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Titles are rather self-explanatory, this time. Unlike the dual property (so often, in appropriate contexts, the minimal condition on non-P subgroups implies that either the minimal condition holds for all subgroups or all subgroups have the property P), as a rule the maximal condition can be satisfied by non immediately obvious examples; this is already true for the maximal condition on nonnormal subgroups. There is much subsequent work on the same kind of (finiteness) conditions imposed to not-well-behaved subgroups of a group (see for instance the paper by Dixon and Kurdachenko in the same issue as [15], p. 157–172).
There is a (rather evident) typo in the statement of Lemma 6 of [8], where “for every prime p” should be “for every prime p or p=0”.
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