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An insoluble (p − 2)-Engel group of exponent p

Abstract:

In 1971 Razmyslov found a beautiful construction for insoluble, locally nilpotent groups of exponent p(p ≥ 5). In 1978 Razmyslov refined his construction, and showed that it also gives insoluble groups of exponent 4. In this note we show that Razmyslov's method can be used to construct insoluble, locally nilpotent, (p − 2)-Engel groups of exponent p for all primes p ≥ 5.

Publication status:
Published
Peer review status:
Peer reviewed
Version:
Publisher's version

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Publisher copy:
10.1016/j.jalgebra.2009.11.002

Authors


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Institution:
University of Oxford
Oxford college:
Christ Church
Department:
Mathematical,Physical & Life Sciences Division - Mathematical Institute
Role:
Author
Publisher:
Elsevier Inc. Publisher's website
Journal:
Journal of Algebra Journal website
Volume:
323
Issue:
6
Pages:
1826-1838
Publication date:
2010-03-05
DOI:
ISSN:
0021-8693
URN:
uuid:ac622e1d-f2fc-4b02-9d0d-5abc02bfd4e9
Local pid:
ora:8570

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