Journal article icon

Journal article

The groups with order p7 for odd prime p

Abstract:

We determine product presentations for the nilpotent Lie rings with order p7 where p ≥ 7 is prime, and then use the Baker-Campbell-Hausdorff formula to construct power-commutator presentations for the corresponding groups. The number of such groups is a polynomial depending on p whose leading term is 3p5. We complete the determination of groups with order p7 for p = 3, 5 using the p-group generation algorithm. We provide access to the resulting presentations for the groups via a database dist...

Expand abstract

Actions


Access Document


Authors


Journal:
Journal of Algebra
Volume:
292
Issue:
1 SPEC. ISS.
Pages:
243-258
Publication date:
2005-10-01
DOI:
ISSN:
0021-8693
Source identifiers:
20378
Language:
English
Pubs id:
pubs:20378
UUID:
uuid:090efe5c-d071-42a2-8fed-0ebc6873f148
Local pid:
pubs:20378
Deposit date:
2013-02-20

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