Abstract
Let KG denote the group algebra of the group G over the field K
and let U(KG) denote its group of units. Here without the use of a computer we
give presentations for the unit groups of all group algebras KG, where the size of
KG is less than 1024. As a consequence we find the minimum counterexample
to the Isomorphism Problem for group algebras.
and let U(KG) denote its group of units. Here without the use of a computer we
give presentations for the unit groups of all group algebras KG, where the size of
KG is less than 1024. As a consequence we find the minimum counterexample
to the Isomorphism Problem for group algebras.
| Original language | English (Ireland) |
|---|---|
| Pages (from-to) | 531-537 |
| Journal | International Journal of Pure and Applied Mathematics |
| Volume | 49 |
| Issue number | 4 |
| Publication status | Published - 2008 |
Keywords
- group ring
- group algebra
- unit group
- isomorphism problem
Name of Affiliated ATU Research Unit
- MISHE - Mathematical Modelling and Intelligent Systems for Health & Environment