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Nilpotency in Groups with the Minimal Condition on Centralizers

โœ Scribed by Frank O Wagner

Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
110 KB
Volume
217
Category
Article
ISSN
0021-8693

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โœฆ Synopsis

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.

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