On the rank and exponent of the fixed points of coprime actions
| buir.contributor.author | Kızmaz, Muhammet Yasir | |
| buir.contributor.orcid | Kızmaz, Muhammet Yasir|0000-0002-8277-4469 | |
| dc.citation.epage | 114 | en_US |
| dc.citation.issueNumber | 1 | en_US |
| dc.citation.spage | 107 | en_US |
| dc.citation.volumeNumber | 166 | en_US |
| dc.contributor.author | Kızmaz, Muhammet Yasir | |
| dc.date.accessioned | 2023-02-17T11:27:29Z | |
| dc.date.available | 2023-02-17T11:27:29Z | |
| dc.date.issued | 2022-02 | |
| dc.department | Department of Mathematics | en_US |
| dc.description.abstract | Let A be a group acting on a p-group P coprimely. We show that if A centralizes some specified abelian subgroups of P, then A acts trivially on P. As a consequence of this, we obtain that the special rank of CP(A) is strictly less than that of P unless the action of A on P is trivial. Secondly, we prove that if A acts on a group G coprimely and [G,A]=G, then the exponent of CG(A)/(CG(A))′ divides |G:CG(A)|. | en_US |
| dc.identifier.doi | 10.1007/s10474-021-01198-8 | en_US |
| dc.identifier.issn | 0236-5294 | |
| dc.identifier.uri | http://hdl.handle.net/11693/111511 | |
| dc.language.iso | English | en_US |
| dc.publisher | Springer | en_US |
| dc.relation.isversionof | https://doi.org/10.1007/s10474-021-01198-8 | en_US |
| dc.source.title | Acta Mathematica Hungarica | en_US |
| dc.subject | Coprime action | en_US |
| dc.subject | Fixed point | en_US |
| dc.subject | Special rank | en_US |
| dc.title | On the rank and exponent of the fixed points of coprime actions | en_US |
| dc.type | Article | en_US |
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