\((p,q,r)\)-generations and \(nX\)-complementary generations of the sporadic groups \(HS\) and \(McL\) (Q1355527)
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scientific article; zbMATH DE number 1013937
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | \((p,q,r)\)-generations and \(nX\)-complementary generations of the sporadic groups \(HS\) and \(McL\) |
scientific article; zbMATH DE number 1013937 |
Statements
\((p,q,r)\)-generations and \(nX\)-complementary generations of the sporadic groups \(HS\) and \(McL\) (English)
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16 July 1997
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A group \(G\) is called \((l,m,n)\)-generated if it is a quotient of the group which has the presentation \(\langle x,y,z\mid x^l=y^m=z^n=xyz=1\rangle\). The authors determine all \((p,q,r)\)-generations (\(p\), \(q\), \(r\) primes) for the sporadic simple Higman-Sims group \(HS\) and the McLaughlin group \(McL\). For more related work of the authors see also the article reviewed above (Zbl 0874.20016).
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presentations
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\((p,q,r)\)-generations
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Higman-Sims group
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McLaughlin group
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