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Nilpotency in groups with the minimal condition on centralizers

Abstract:

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.

Publication status:
Published
Peer review status:
Peer reviewed

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Publisher copy:
10.1006/jabr.1998.7824

Authors


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Institution:
University of Oxford
Division:
MPLS
Department:
Mathematical Institute
Role:
Author

Contributors

Role:
Other
Publisher:
Elsevier Publisher's website
Journal:
Journal of Algebra Journal website
Volume:
217
Issue:
2
Pages:
448-460
Publication date:
1999-07-01
DOI:
ISSN:
0021-8693
Language:
English
Keywords:
Subjects:
UUID:
uuid:0331cc0b-7e9c-4480-a9b3-89aa4af6e9a6
Local pid:
ora:8738
Deposit date:
2014-07-08

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