Nilpotency in groups with the minimal condition on centralizers

JOURNAL OF ALGEBRA

卷:217

Article

Wagner, FO

关键词: chain condition;    nilpotency;    Sylow subgroup;   

DOI  :  10.1006/jabr.1998.7824

来源: Elsevier

【 摘 要 】

The Sylow-2-subgroups of a periodic group with minimal condition on centralizers are locally finite and conjugate. The same holds for the Sylow-p-subgroups for any prime p, provided the subgroups generated by any two p-elements of the group are finite. In the non-periodic context, the bounded left Engel elements of a group with minimal condition on centralizers form the Fitting subgroup. (C) 1999 Academic Press.

【 授权许可】

Free