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On the characterizability of the automorphism groups of sporadic simple groups by their element orders. (English) Zbl 1071.20029

Let \(\pi_e(G)\) denote the set of orders of elements in a group \(G\) and \(h(\pi_e(G))\) denote the number of isomorphism classes of finite groups with the same set \(\pi_e(G)\) of element orders. In this paper, the authors investigate the \(h\)-function value for the automorphism groups of sporadic simple groups. This research is a continuation of the reviewer’s previous investigation [Algebra Colloq. 1, No. 2, 159-166 (1994; Zbl 0799.20019)].
Reviewer: Shi Wujie (Suzhou)

MSC:

20D45 Automorphisms of abstract finite groups
20D08 Simple groups: sporadic groups
20D60 Arithmetic and combinatorial problems involving abstract finite groups
20D05 Finite simple groups and their classification

Citations:

Zbl 0799.20019
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References:

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