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Non-simple groups which are the product of simple groups

✍ Scribed by Gary L. Walls

Book ID: 112504712
Publisher: Springer
Year: 1989
Tongue: English
Weight: 447 KB
Volume: 53
Category: Article
ISSN: 0003-889X
DOI: 10.1007/bf01277053

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Let denote the class of all groups that are the set theoretic union of their nonabelian simple subgroups. We prove that in certain situations -groups are simple and give a number of examples of nonsimple groups in .

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It is very likely the monster simple group M is also a completion of the Goldschmidt G -amalgam, but we have been unable to verify this. Ž . pletes the proof of part ii . From Theorem 1.2 and Lemma 1.3 we obtain COROLLARY 1.4. The groups 3 ؒ J , 3 ؒ Suz, 3 ؒ O'N, 3 ؒ Fi , and completions of the G

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