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Finite Simple Groups of Bounded Subgroup Chain Length

✍ Scribed by K. Alladi; R. Solomon; A. Turull

Publisher: Elsevier Science
Year: 2000
Tongue: English
Weight: 111 KB
Volume: 231
Category: Article
ISSN: 0021-8693
DOI: 10.1006/jabr.2000.8371

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✦ Synopsis

Given a finite group G, we denote by l G the length of the longest chain of subgroups of G. We study whether certain sets of non-isomorphic finite simple groups S with bounded l S are finite or infinite. We prove, in particular, that there exists an infinite number of non-isomorphic non-abelian finite simple groups S with l S bounded.

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