Displaying similar documents to “Groups which are isomorphic to their nonabelian subgroups”

On the structure of groups whose non-abelian subgroups are subnormal

Leonid Kurdachenko, Sevgi Atlıhan, Nikolaj Semko (2014)

Open Mathematics

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The main aim of this article is to examine infinite groups whose non-abelian subgroups are subnormal. In this sense we obtain here description of such locally finite groups and, as a consequence we show several results related to such groups.

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 .

On non-periodic groups whose finitely generated subgroups are either permutable or pronormal

L. A. Kurdachenko, I. Ya. Subbotin, T. I. Ermolkevich (2013)

Mathematica Bohemica

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The current article considers some infinite groups whose finitely generated subgroups are either permutable or pronormal. A group G is called a generalized radical, if G has an ascending series whose factors are locally nilpotent or locally finite. The class of locally generalized radical groups is quite wide. For instance, it includes all locally finite, locally soluble, and almost locally soluble groups. The main result of this paper is the followingTheorem. Let G be a locally generalized...