Frobenius subgroups of free profinite products

Robert M. Guralnick, Dan Haran

Type: Article

Publication Date: 2011-02-09

Citations: 14

DOI: https://doi.org/10.1112/blms/bdq114

Abstract

We solve an open problem of Herfort and Ribes: Profinite Frobenius groups of certain type do occur as closed subgroups of free profinite products of two profinite groups.This also solves a question of Pop about prosolvable subgroups of free profinite products.

Locations

Bulletin of the London Mathematical Society - View
arXiv (Cornell University) - View - PDF
DataCite API - View

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+ PDF Chat	Profinite groups in which centralizers are abelian	2019	Pavel Shumyatsky Pavel Zalesskii Theo Zapata
+ PDF Chat	A Wreath Product Approach to Classical Subgroup Theorems	2010	Luis Ribes Benjamin Steinberg
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Works Cited by This (12)

Action	Title	Year	Authors
+ PDF Chat	Involutions in Chevalley groups over fields of even order	1976	Michael Aschbacher Gary M. Seitz
+	SIMPLE GROUPS OF LIE TYPE	1975	I. G. Macdonald
+	The local structure of finite groups of characteristic 2 type	1983	Daniel Gorenstein Richard Lyons
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+ PDF Chat	Schur covers and Carlitz’s conjecture	1993	Michael D. Fried Robert M. Guralnick Jan Saxl
+ PDF Chat	Two remarks on irreducible characters of finite general linear groups	1976	Takuro Shintani
+	On prosolvable subgroups of profinite free products and some applications	1995	Florian Pop
+ PDF Chat	FROBENIUS GROUPS AS MONODROMY GROUPS	2008	Robert M. Guralnick
+	The Classification of Finite Simple Groups	1983	Daniel Gorenstein
+	Solvable subgroups of free products of profinite groups	1989	Wolfgang Herfort Luis Ribes