Displaying similar documents to “On absolutely simple locally finite groups”

Inert subgroups of uncountable locally finite groups

Barbara Majcher-Iwanow (2003)

Commentationes Mathematicae Universitatis Carolinae

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Let G be an uncountable universal locally finite group. We study subgroups H < G such that for every g ∈ G , | H : H ∩ H g | < | H | .

Totally inert groups

V. V. Belyaev, M. Kuzucuoğlu, E. Seçkin (1999)

Rendiconti del Seminario Matematico della Università di Padova

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On totally inert simple groups

Martyn Dixon, Martin Evans, Antonio Tortora (2010)

Open Mathematics

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A subgroup H of a group G is inert if |H: H ∩ H g| is finite for all g ∈ G and a group G is totally inert if every subgroup H of G is inert. We investigate the structure of minimal normal subgroups of totally inert groups and show that infinite locally graded simple groups cannot be totally inert.