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Un sottogruppo $H$ di un gruppo $G$ si dice nearly normal se ha indice finito nella sua chiusura normale $H^{G}$ . In questa nota si caratterizzano i gruppi in cui ogni sottogruppo che non sia nearly normal soddisfa una fissata condizione finitaria $χ$ per diverse scelte naturali della proprietà $χ$ .

Groups with nearly modular subgroup lattice

Francesco de Giovanni, Carmela Musella (2001)

Colloquium Mathematicae

A subgroup H of a group G is nearly normal if it has finite index in its normal closure $H^{G}$ . A relevant theorem of B. H. Neumann states that groups in which every subgroup is nearly normal are precisely those with finite commutator subgroup. We shall say that a subgroup H of a group G is nearly modular if H has finite index in a modular element of the lattice of subgroups of G. Thus nearly modular subgroups are the natural lattice-theoretic translation of nearly normal subgroups. In this article we...

Groups with Restricted Non-Normal Subgroups.

Richard E. Phillips, Brunella Bruno (1981)

Mathematische Zeitschrift

Gruppi che sono unione di un numero finito di laterali doppi

Enrico Jabara (2006)

Rendiconti del Seminario Matematico della Università di Padova

Gruppi con pochi sottogruppi non quasinormali

Mario Mainardis (1992)

Rendiconti del Seminario Matematico della Università di Padova

Homological Methods and the Third Dimension Subgroup

F. Bachmann, L. Grünenfelder (1972)

Commentarii mathematici Helvetici

Infinite locally soluble $k$ -Engel groups

Lucia Serena Spiezia (1992)

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

In this paper we deal with the class $E_{k}^{*}$ of groups $G$ for which whenever we choose two infinite subsets $X$ , $Y$ there exist two elements $x \in X$ , $y \in Y$ such that $[x, \underset{k}{\underset{︸}{y, \dots, y}}] = 1$ . We prove that an infinite finitely generated soluble group in the class $E_{k}^{*}$ is in the class $E_{k}$ of $k$ -Engel groups. Furthermore, with $k = 2$ , we show that if $G \in E_{2}^{*}$ is infinite locally soluble or hyperabelian group then $G \in E_{2}$ .

Let G be an infinite, locally soluble group which is isomorphic to all its nontrivial normal subgroups. If G/G' has finite p-rank for p = 0 and for all primes p, then G is cyclic.

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$G$ -тождества нильпотентных групп. II

Groups all whose nonnormal subgroups generate a nontrivial proper subgroup.

Groups in which the derived groups of all 2-generator subgroups are cyclic

Groups preserving the cardinality of subsets product under permutations

Groups which are isomorphic to their nonabelian subgroups

Groups with many nearly normal subgroups

Groups with nearly modular subgroup lattice

Groups with Restricted Non-Normal Subgroups.

Gruppi che sono unione di un numero finito di laterali doppi

Gruppi con pochi sottogruppi non quasinormali

Homological Methods and the Third Dimension Subgroup

Infinite locally soluble $k$ -Engel groups

Isomorphism classes and derived series of certain almost-free groups.

Kartesisch und residuell abgeschlossene Gruppenklassen [Book]

Linear properties of poly-Fuchsian groups.

Locally soluble groups with all nontrivial normal subgroups isomorphic.

$M_{p}$ -группы.

$M_{p}$ -группы с регулярной ручкой

$M_{p}$ -группы с ядром произвольного ранга

Monomiality and isoclinism of groups.

Currently displaying 21 – 40 of 108