Giovanni Cutolo: papers

UNINA
$ \let\vuoto\varnothing \let\setminus\smallsetminus \let\iso\simeq \let\n\triangleleft \let\implica\Rightarrow \let\Implica\Longrightarrow \let\shiff\Leftrightarrow \let\immersione\hookrightarrow \let\epi\twoheadrightarrow \let\mono\rightarrowtail \let\ot\otimes \newcommand\set[1]{\{#1\}} \newcommand\P{{\mathscr P}} \newcommand\U{{\mathscr U}} \newcommand\I{{\mathcal I}} \newcommand\F{{\mathcal F}} % \newcommand\Pf{{\P_{\mbox{\small\textbf {fin}}}}} \newcommand\Pf{{\P_{\text{fin}}}} \newcommand\N{\mathbb N} \newcommand\Z{\mathbb Z} \newcommand\Q{\mathbb Q} \newcommand\R{\mathbb R} \newcommand\C{\mathbb C} \newcommand\S{\mathbb S} \newcommand\Pr{\mathbb P} \newcommand\ds{\mathbin{\scriptstyle\triangle}} \newcommand\xor{\mathbin{\mathsf{XOR}}} \newcommand\nor{\mathbin{\mathsf{NOR}}} \newcommand\nand{\mathbin{\mathsf{NAND}}} \newcommand\gen[1]{\langle#1\rangle} \DeclareMathOperator{\id}{id} \DeclareMathOperator{\im}{im} \DeclareMathOperator{\rest}{rest} \DeclareMathOperator{\Sym}{Sym} \DeclareMathOperator{\Div}{Div} \DeclareMathOperator{\Corr}{Corr} \DeclareMathOperator{\Rel}{Rel} \DeclareMathOperator{\Map}{Map} \DeclareMathOperator{\Eq}{Eq} \DeclareMathOperator{\Part}{Part} \DeclareMathOperator{\partz}{Partz} \DeclareMathOperator{\OS}{OS} \DeclareMathOperator{\OL}{OL} \DeclareMathOperator{\End}{End} \DeclareMathOperator{\Hom}{Hom} \DeclareMathOperator{\jac}{Jac} \DeclareMathOperator{\nrad}{NilRad} \DeclareMathOperator{\ann}{Ann} \DeclareMathOperator{\ass}{Ass} \DeclareMathOperator{\Min}{Min} \DeclareMathOperator{\minor}{Minor} \DeclareMathOperator{\maggior}{Maggior} \DeclareMathOperator{\var}{Var} \DeclareMathOperator{\spec}{Spec} \DeclareMathOperator{\car}{char} \DeclareMathOperator{\cd}{cd} \newcommand\Mod{{\mathcal{Mod}}} % \DeclareRobustCommand {\modbin}{\mathbin{\textrm {mod}}} \newcommand\modbin {\mathbin{\textrm {mod}}} \newcommand\antivec[2] {#1^{\raise #2pt\hbox{$\!\!\scriptstyle\leftarrow\!\!$}}} \newcommand\antivecf{\antivec f3} \newcommand\antivecv{v^{\raise 1.2pt\hbox{$\!\!\!\scriptstyle\leftarrow\!\!$}}} \newcommand\antivecg{g^{\raise 2pt\hbox{$\!\!\!\scriptstyle\leftarrow\!\!$}}} \newcommand\vecvuoto {\vec{\phantom{p}}} \newcommand\antivecvuoto{\,\antivec {{}}{2}} % \newcommand\antivecvuoto{{}^{\raise 2pt\hbox{$\scriptstyle\leftarrow\!\!$}}} \newcommand\maxid{\mathbin{{\n}{\cdot}}} \let\sseq\subseteq $
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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
MathSciNet Zentralblatt Comments Abstract

Abstract

We describe (generalized) soluble-by-finite groups in which the set of non-normal subgroups which are not finitely generated satisfies the maximal condition.

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