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Locally Finite Simple Groups of 1-Type

✍ Scribed by Stefaan Delcroix; Ulrich Meierfrankenfeld

Publisher: Elsevier Science
Year: 2002
Tongue: English
Weight: 152 KB
Volume: 247
Category: Article
ISSN: 0021-8693
DOI: 10.1006/jabr.2001.8997

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✦ Synopsis

A locally finite, simple group G is said to be of 1-type if every Kegel cover for G has a factor which is an alternating group. In this paper we study the finite subgroups of locally finite simple groups of 1-type. We also introduce the concept of ''block-diagonal embeddings'' for groups of alternating type. We show that the groups of 1-type are exactly the groups which have an alternating Kegel cover with block diagonal embeddings.

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