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arXiv · 1702.00245

Central intersections of element centralisers

Julian Brough
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Abstract

In 1970 R. Schmidt gave a structural classification for CA-groups. In this paper we consider a condition upon the intersection of element centralisers which turns out to be equivalent to the definition of a CA-group. We then weaken which centralisers we chose to intersect and structurally classify this new family of groups. Furthermore we apply a similar weakening to the class of F-groups introduced by Ito in 1953 and classified by Rebmann in 1971.

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Julian Brough. 2017-02-01. Central intersections of element centralisers. https://arxiv.org/abs/1702.00245

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