On Coleman automorphisms of finite nilpotent groups by cyclic groups
| Autor: | Sheng Bo Ge, Jin Ke Hai |
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| Rok vydání: | 2016 |
| Předmět: |
Normal subgroup
Pure mathematics Finite group Automorphisms of the symmetric and alternating groups Applied Mathematics General Mathematics 010102 general mathematics Cyclic group Automorphism 01 natural sciences Centralizer and normalizer 010101 applied mathematics Mathematics::Group Theory Nilpotent 0101 mathematics Nilpotent group Mathematics |
| Zdroj: | Acta Mathematica Sinica, English Series. 32:1459-1464 |
| ISSN: | 1439-7617 1439-8516 |
| DOI: | 10.1007/s10114-016-4224-1 |
| Popis: | Let G be a finite group and let N be a nilpotent normal subgroup of G such that G/N is cyclic. It is shown that under some conditions all Coleman automorphisms of G are inner. Interest in such automorphisms arose from the study of the normalizer problem for integral group rings. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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