Journal article icon

Journal article

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

Actions


Access Document


Files:
Publisher copy:
10.1016/j.jalgebra.2009.11.002

Authors


More by this author
Institution:
University of Oxford
Division:
MPLS
Department:
Mathematical Institute
Oxford college:
Christ Church
Role:
Author
Publisher:
Elsevier Publisher's website
Journal:
Journal of Algebra Journal website
Volume:
323
Issue:
6
Pages:
1826-1838
Publication date:
2010-03-01
DOI:
ISSN:
0021-8693
Language:
English
Keywords:
Subjects:
UUID:
uuid:ac622e1d-f2fc-4b02-9d0d-5abc02bfd4e9
Local pid:
ora:8570
Deposit date:
2014-06-10

Terms of use


Views and Downloads






If you are the owner of this record, you can report an update to it here: Report update to this record

TO TOP