On the characterizability of the automorphism groups of sporadic simple groups by their element orders. (Q705100)
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scientific article; zbMATH DE number 2130972
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the characterizability of the automorphism groups of sporadic simple groups by their element orders. |
scientific article; zbMATH DE number 2130972 |
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On the characterizability of the automorphism groups of sporadic simple groups by their element orders. (English)
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25 January 2005
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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)].
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automorphism groups
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sets of element orders
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prime graphs
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sporadic simple groups
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