Serial group rings of finite groups. p-solvability
We prove that for any finite p-solvable group G with a cyclic p-Sylow subgroup and any field F of characteristic p, the group ring FG is serial. As a corollary for an arbitrary field we will produce a list of all groups of order ≤ 100 whose group rings are serial.
Saved in:
| Date: | 2013 |
|---|---|
| Main Authors: | , |
| Format: | Article |
| Language: | English |
| Published: |
Інститут прикладної математики і механіки НАН України
2013
|
| Series: | Algebra and Discrete Mathematics |
| Online Access: | http://dspace.nbuv.gov.ua/handle/123456789/152347 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | Serial group rings of finite groups. p-solvability / A. Kukharev, G. Puninski // Algebra and Discrete Mathematics. — 2013. — Vol. 16, № 2. — С. 201–216. — Бібліогр.: 18 назв. — англ. |