Abstract
We show that p-groups of maximal class and order p5 are determined by their group algebras over the field of p elements. The most important information requisite for the proof is obtained from a detailed study of the unit group of a quotient algebra of the group algebra, larger than the small group algebra.
| Original language | English |
|---|---|
| Pages (from-to) | 1064-1078 |
| Number of pages | 15 |
| Journal | Canadian Journal of Mathematics |
| Volume | 48 |
| Issue number | 5 |
| DOIs | |
| Publication status | Published - Oct 1996 |
Keywords
- Isomorphism problem
- Maximal class
- Modular group algebra
- P-group
ASJC Scopus subject areas
- General Mathematics