Topological Frobenius groups

Wolfgang N. Herfort; Larry M. Manevitz

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

Topological Frobenius groups

Wolfgang N. Herfort, Larry M. Manevitz

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

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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

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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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Topological Frobenius groups

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