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 distributed with computer algebra systems. © 2005 Elsevier Inc. All rights reserved.
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- Publisher copy:
- 10.1016/j.jalgebra.2005.01.019
Authors
- Journal:
- Journal of Algebra More from this journal
- Volume:
- 292
- Issue:
- 1 SPEC. ISS.
- Pages:
- 243-258
- Publication date:
- 2005-10-01
- DOI:
- ISSN:
-
0021-8693
- Language:
-
English
- Pubs id:
-
pubs:20378
- UUID:
-
uuid:090efe5c-d071-42a2-8fed-0ebc6873f148
- Local pid:
-
pubs:20378
- Source identifiers:
-
20378
- Deposit date:
-
2013-02-20
- ARK identifier:
Terms of use
- Copyright date:
- 2005
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