Groups with finite conjugacy classes of subnormal subgroups

Carlo Casolo

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Displaying similar documents to “Groups with finite conjugacy classes of subnormal subgroups”

Groups with many nearly normal subgroups

Maria De Falco (2001)

Bollettino dell'Unione Matematica Italiana

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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 small deviation for non-subnormal subgroups

Leonid Kurdachenko, Howard Smith (2009)

Open Mathematics

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We introduce the notion of the non-subnormal deviation of a group G. If the deviation is 0 then G satisfies the minimal condition for nonsubnormal subgroups, while if the deviation is at most 1 then G satisfies the so-called weak minimal condition for such subgroups (though the converse does not hold). Here we present some results on groups G that are either soluble or locally nilpotent and that have deviation at most 1. For example, a torsion-free locally nilpotent with deviation at...

Subgroups of finite index in generalized $T$ -groups

Carlo Casolo (1988)

Rendiconti del Seminario Matematico della Università di Padova

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The nilpotency of some groups with all subgroups subnormal.

Leonid A. Kurdachenko, Howard Smith (1998)

Publicacions Matemàtiques

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Let G be a group with all subgroups subnormal. A normal subgroup N of G is said to be G-minimax if it has a finite G-invariant series whose factors are abelian and satisfy either max-G or min- G. It is proved that if the normal closure of every element of G is G-minimax then G is nilpotent and the normal closure of every element is minimax. Further results of this type are also obtained.

On hypercentral subgroups of infinite groups

Francesco de Giovanni, Alessio Russo (2002)

Mathematica Slovaca

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Groups which are isomorphic to their nonabelian subgroups

Howard Smith, James Wiegold (1997)

Rendiconti del Seminario Matematico della Università di Padova

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The classification of groups in which every product of four elements can be reordered

Patrizia Longobardi, Mercede Maj, Stewart Stonehewer (1995)

Rendiconti del Seminario Matematico della Università di Padova

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Displaying similar documents to “Groups with finite conjugacy classes of subnormal subgroups”

Groups with many nearly normal subgroups

Groups with small deviation for non-subnormal subgroups

Subgroups of finite index in generalized T -groups

The nilpotency of some groups with all subgroups subnormal.

On hypercentral subgroups of infinite groups

Groups which are isomorphic to their nonabelian subgroups

The classification of groups in which every product of four elements can be reordered

Subgroups of finite index in generalized $T$ -groups