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Not every p-group can be generated by elements of the same order

Abstract:
For every prime p, we exhibit a finite p-group which cannot be generated by a set of elements, all having the same order. This answers a long-standing question from the Kourovka Notebook. ©2006 American Mathematical Society.
Publication status:
Published

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Institution:
University of Oxford
Division:
MPLS
Department:
Mathematical Institute
Role:
Author
Journal:
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY
Volume:
134
Issue:
12
Pages:
3457-3464
Publication date:
2006-01-01
DOI:
ISSN:
0002-9939
Source identifiers:
21862
Language:
English
Pubs id:
pubs:21862
UUID:
uuid:dd2528cc-d981-4d19-99ff-b049c18513fd
Local pid:
pubs:21862
Deposit date:
2012-12-19

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