Journal article

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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APA Style

Wagner, F. (1999). Nilpotency in groups with the minimal condition on centralizers. Journal of Algebra, 217(2), 448–460.

MLA Style

Wagner, F. “Nilpotency in Groups with the Minimal Condition on Centralizers.” Journal of Algebra, Publisher's version, vol. 217, no. 2, Elsevier, 1999, pp. 448–60.

Chicago Style

Wagner, F. 1999. “Nilpotency in Groups with the Minimal Condition on Centralizers.” Journal of Algebra 217 (2): 448–60.
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Files:: 1-s2.0-S0021869398978243-main.pdf

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Publisher copy:: 10.1006/jabr.1998.7824

Authors

+ Wagner, F More by this author

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

Contributors

+ Academic Press

Role:: Other

Publisher:: Elsevier
Journal:: Journal of Algebra More from this journal
Volume:: 217
Issue:: 2
Pages:: 448-460
Publication date:: 1999-07-01
Edition:: Publisher's version
DOI:: 10.1006/jabr.1998.7824
ISSN:: 0021-8693

Language:: English
Keywords:: Sylow subgroup

chain condition

nilpotency
Subjects:: Mathematics

Group theory and generalizations (mathematics)
UUID:: uuid:0331cc0b-7e9c-4480-a9b3-89aa4af6e9a6
Local pid:: ora:8738
Deposit date:: 2014-07-08

Terms of use

Copyright holder:: Academic Press
Copyright date:: 1999
Notes:: Copyright 1999 Academic Presss. Published by Elsevier B.V. All rights reserved. Re-use of this article is permitted in accordance with the Terms and Conditions set out at http://www.elsevier.com/open-access/userlicense/1.0/

Licence:: Other

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