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1976•Bulletin of the Australian Mathematical SocietyOpen access

A note on centralizers of involutions involving simple groups

Donald Wright

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Abstract

If a finite group G has a ‘central’ involution t whose centralizer in G is (t) × H then, under certain conditions on H, G cannot be simple.

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If a finite group G has a ‘central’ involution t whose centralizer in G is (t) × H then, under certain conditions on H, G cannot be simple.

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OpenAlex reports 3 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

If a finite group G has a ‘central’ involution t whose centralizer in G is (t) × H then, under certain conditions on H, G cannot be simple.

Key concepts: Mathematics, Centralizer and normalizer, Involution (esoterism), Simple group, Simple (philosophy), Pure mathematics, Classification of finite simple groups, Combinatorics

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