2000Communications in AlgebraRequires access

The characterization of finite simple groups with no elements of order six by their element orders

Jianbei An, Wujie Shi

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Abstract

We show that apart from A6 all non-abelian finite simple groups with no elements of order 6 are characterized by their element orders.

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What this paper is about

We show that apart from A6 all non-abelian finite simple groups with no elements of order 6 are characterized by their element orders.

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OpenAlex reports 5 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

We show that apart from A6 all non-abelian finite simple groups with no elements of order 6 are characterized by their element orders.

Key concepts: Mathematics, Simple (philosophy), Simple group, Classification of finite simple groups, Order (exchange), Characterization (materials science), Element (criminal law), Finite element method

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