| Title:
|
Coleman automorphisms of finite groups with a self-centralizing normal subgroup (English) |
| Author:
|
Hai, Jinke |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
70 |
| Issue:
|
4 |
| Year:
|
2020 |
| Pages:
|
1197-1204 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
Let $G$ be a finite group with a normal subgroup $N$ such that $C_{G}(N)\leq N$. It is shown that under some conditions, Coleman automorphisms of $G$ are inner. Interest in such automorphisms arose from the study of the normalizer problem for integral group rings.\looseness -1 (English) |
| Keyword:
|
Coleman automorphism |
| Keyword:
|
integral group ring |
| Keyword:
|
the normalizer property |
| MSC:
|
16S34 |
| MSC:
|
20C05 |
| MSC:
|
20C10 |
| idZBL:
|
07285991 |
| idMR:
|
MR4181808 |
| DOI:
|
10.21136/CMJ.2020.0423-19 |
| . |
| Date available:
|
2020-11-18T09:51:49Z |
| Last updated:
|
2023-01-02 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/148423 |
| . |
| Reference:
|
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| Reference:
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| . |
