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Inert subgroups of uncountable locally finite groups

Barbara Majcher-Iwanow (2003)

Commentationes Mathematicae Universitatis Carolinae

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 | .

Injectors of fitting classes of 𝔊 1 -groups

Federico Menegazzo, Martin L. Newell (1988)

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

Fitting classes and injectors are discussed in the class of 𝔊 1 -groups. A necessary and sufficient condition for the existence of injectors is given; it is also shown that, when this condition holds, the injectors form a unique conjugacy class.

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