Periodic subgroups of projective linear groups in positive characteristic

Alla Detinko; Dane Flannery

Displaying similar documents to “Periodic subgroups of projective linear groups in positive characteristic”

On transitivity of pronormality

Leonid A. Kurdachenko, Igor Ya. Subbotin (2002)

Commentationes Mathematicae Universitatis Carolinae

Similarity:

This article is dedicated to soluble groups, in which pronormality is a transitive relation. Complete description of such groups is obtained.

Periodic linear groups factorized by mutually permutable subgroups

Maria Ferrara, Marco Trombetti (2023)

Czechoslovak Mathematical Journal

Similarity:

The aim is to investigate the behaviour of (homomorphic images of) periodic linear groups which are factorized by mutually permutable subgroups. Mutually permutable subgroups have been extensively investigated in the finite case by several authors, among which, for our purposes, we only cite J. C. Beidleman and H. Heineken (2005). In a previous paper of ours (see M. Ferrara, M. Trombetti (2022)) we have been able to generalize the first main result of J. C. Beidleman, H. Heineken (2005)...

Dual-standard subgroups in nonperiodic locally soluble groups

Stewart E. Stonehewer, Giovanni Zacher (1990)

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

Similarity:

Let G be a non-periodic locally solvable group. A characterization is given of the subgroups-D of G for which the map $X \to X \cap D$ , for all $X \leq G$ , defines a lattice-endomorphism.

On irreducible, infinite, nonaffine Coxeter groups

Dongwen Qi (2007)

Fundamenta Mathematicae

Similarity:

The following results are proved: The center of any finite index subgroup of an irreducible, infinite, nonaffine Coxeter group is trivial; Any finite index subgroup of an irreducible, infinite, nonaffine Coxeter group cannot be expressed as a product of two nontrivial subgroups. These two theorems imply a unique decomposition theorem for a class of Coxeter groups. We also prove that the orbit of each element other than the identity under the conjugation action in an irreducible, infinite,...

On minimal logarithmic signatures of finite groups.

Lempken, Wolfgang, van Trung, Tran (2005)

Experimental Mathematics

Similarity:

A version of Brauer’s theorem for integer central functions

Fedor Bogomolov, Jorge Maciel (2009)

Open Mathematics

Similarity:

In this article we prove an effective version of the classical Brauer’s Theorem for integer class functions on finite groups.

Groups with many nearly normal subgroups

Maria De Falco (2001)

Bollettino dell'Unione Matematica Italiana

Similarity:

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 $χ$ .