On recognition of \(A_6\times A_6\) by the set of conjugacy class sizes (Q6642678)
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scientific article; zbMATH DE number 7948697
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On recognition of \(A_6\times A_6\) by the set of conjugacy class sizes |
scientific article; zbMATH DE number 7948697 |
Statements
On recognition of \(A_6\times A_6\) by the set of conjugacy class sizes (English)
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25 November 2024
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Let \(G\) be a finite group and \(N(G)\) the set of conjugacy class sizes of \(G\). The main result in this paper is the following: If \(Z(G)=1\) and \(N(G)=N(A_{6} \times A_{6})\), then \(G\simeq A_{6}\times A_{6}\).
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recognition
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conjugacy class
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class size
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