ON SOLUBILITY OF GROUPS WITH BOUNDED CENTRALIZER CHAINS-Reference-Cited by-同舟云学术

ON SOLUBILITY OF GROUPS WITH BOUNDED CENTRALIZER CHAINS

Published:2009-01 Issue:1 Volume:51 Page:49-54
ISSN:0017-0895
Container-title:Glasgow Mathematical Journal
language:en
Short-container-title:Glasgow Math. J.

Author:

KHUKHRO E. I.

Abstract

AbstractThe c-dimension of a group is the maximum length of a chain of nested centralizers. It is proved that a periodic locally soluble group of finite c-dimension k is soluble of derived length bounded in terms of k, and the rank of its quotient by the Hirsch–Plotkin radical is bounded in terms of k. Corollary: a pseudo-(finite soluble) group of finite c-dimension k is soluble of derived length bounded in terms of k.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference16 articles.

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