A general Brauer-Fowler theorem and centralizers in locally finite groups

DOI10.2140/pjm.1992.152.101zbMath0713.20023OpenAlexW2075031783MaRDI QIDQ749659

Brian Hartley

Publication date: 1992

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2140/pjm.1992.152.101

zbMATH Keywords

automorphisminvolutionlocally finite groupclassification of finite simple groupsnumber of fixed pointsfinite centralizerHirsch-Plotkin seriesinfinite simple group of Lie typelocally finite fieldlocally soluble subgroup H of finite indexorder of a finite non-abelian simple grouporder of the centralizer

Mathematics Subject Classification ID

Arithmetic and combinatorial problems involving abstract finite groups (20D60) Subgroup theorems; subgroup growth (20E07) Periodic groups; locally finite groups (20F50) Simple groups (20E32) Automorphisms of abstract finite groups (20D45) Finite simple groups and their classification (20D05)

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