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Subjects
20-XX Group theory and generalizations
20Dxx Abstract finite groups
20D25 Special subgroups (Frattini, Fitting, etc.)

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Displaying 1 – 8 of 8

Finite Groups have local Non-Schur Centralizers.

Peter Fleischmann, Ingo Janiszczak (1993)

Manuscripta mathematica

Finite groups in which subnormalizers are subgroups

Carlo Casolo (1989)

Rendiconti del Seminario Matematico della Università di Padova

Finite groups with an automorphism of prime order whose fixed points are in the Frattini of a nilpotent subgroup

Anna Luisa Gilotti (1990)

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

In this paper it is proved that a finite group G with an automorphism $α$ of prime order r, such that $C_{G} (α) = 1$ is contained in a nilpotent subgroup H, with $(|H|, r) = 1$ , is nilpotent provided that either $|H|$ is odd or, if $|H|$ is even, then r is not a Fermât prime.

Finite groups with few self-normalizing subgroups

Huaguo Shi, Zhangjia Han (2012)

Colloquium Mathematicae

We describe finite groups which contain just one conjugate class of self-normalizing subgroups.

Finite groups with Hall supplements to primitive subgroups.

Monakhov, V.S. (2007)

Sibirskij Matematicheskij Zhurnal

Finite p'-nilpotent groups. I.

Srinivasan, S. (1987)

International Journal of Mathematics and Mathematical Sciences

Fixed Points Subgroups that Contain Centralizers of Involutions.

George Glaubermann (1972)

Mathematische Zeitschrift

Frattini normal subgroups of finite groups.

John S. Rose (1980)

Journal für die reine und angewandte Mathematik

Currently displaying 1 – 8 of 8

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