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Right 2-Engel Elements and Commuting Automorphisms of Groups

✍ Scribed by Marian Deaconescu; Gary L Walls

Publisher: Elsevier Science
Year: 2001
Tongue: English
Weight: 63 KB
Volume: 238
Category: Article
ISSN: 0021-8693
DOI: 10.1006/jabr.2000.8655

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✦ Synopsis

It is shown that there is a close connection between the right 2-Engel elements of a group and the set of the so-called commuting automorphisms of the group. As a consequence, the following general theorem is proved: If G is a group and if Ž . R G denotes the subgroup of right 2-Engel elements, then the factor group

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