Topological Frobenius groups

Wolfgang N. Herfort; Larry M. Manevitz

doi:10.1016/0021-8693(85)90143-7

Topological Frobenius groups

Research output: Contribution to journal › Article › peer-review

Abstract

Nonstandard analytic methods are applied to obtain results generalizing structure theorems of locally finite Frobenius groups and profinite Frobenius groups to the class of topologically locally finite, totally disconnected [IN]-groups. Uniform and neat proofs are given of Thompson's fixed point theorem in profinite groups and lifting theorems for fixed points of automorphism groups.

Original language	English
Pages (from-to)	16-32
Number of pages	17
Journal	Journal of Algebra
Volume	92
Issue number	1
DOIs	https://doi.org/10.1016/0021-8693(85)90143-7
State	Published - Jan 1985
Externally published	Yes

ASJC Scopus subject areas

Algebra and Number Theory

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10.1016/0021-8693(85)90143-7

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title = "Topological Frobenius groups",

abstract = "Nonstandard analytic methods are applied to obtain results generalizing structure theorems of locally finite Frobenius groups and profinite Frobenius groups to the class of topologically locally finite, totally disconnected [IN]-groups. Uniform and neat proofs are given of Thompson's fixed point theorem in profinite groups and lifting theorems for fixed points of automorphism groups.",

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year = "1985",

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AB - Nonstandard analytic methods are applied to obtain results generalizing structure theorems of locally finite Frobenius groups and profinite Frobenius groups to the class of topologically locally finite, totally disconnected [IN]-groups. Uniform and neat proofs are given of Thompson's fixed point theorem in profinite groups and lifting theorems for fixed points of automorphism groups.

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U2 - 10.1016/0021-8693(85)90143-7

DO - 10.1016/0021-8693(85)90143-7

M3 - Article

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JO - Journal of Algebra

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Topological Frobenius groups

Abstract

ASJC Scopus subject areas

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