| dc.contributor.author | Akhavan-Malayeri, M | en_US |
| dc.date.accessioned | 1399-08-22T04:15:53Z | fa_IR |
| dc.date.accessioned | 2020-11-12T04:15:54Z | |
| dc.date.available | 1399-08-22T04:15:53Z | fa_IR |
| dc.date.available | 2020-11-12T04:15:54Z | |
| dc.date.issued | 2016-09-01 | en_US |
| dc.date.issued | 1395-06-11 | fa_IR |
| dc.identifier.citation | (1395). پژوهش های ریاضی, 2(1), 1-6. doi: 10.29252/mmr.2.1.1 | fa_IR |
| dc.identifier.issn | 2588-2546 | |
| dc.identifier.issn | 2588-2554 | |
| dc.identifier.uri | https://dx.doi.org/10.29252/mmr.2.1.1 | |
| dc.identifier.uri | http://mmr.khu.ac.ir/article-1-2573-en.html | |
| dc.identifier.uri | https://iranjournals.nlai.ir/handle/123456789/521244 | |
| dc.description.abstract | In this article we will find necessary and sufficient conditions for a fixed point free automorphism (fpf automorphism) of a group to be a commuting automorphism. For a given prime we find the smallest order of a non abelian p-group admitting a commuting fixed point free automorphism. We prove that a group of order p3 having a commuting fpf automorphism, has a restricted structure. Moreover we prove that if a finite group admits a fpf automorphism of order 4, then the converse of Laffey’s result holds in G1. | en_US |
| dc.format.extent | 320 | |
| dc.format.mimetype | application/pdf | |
| dc.language | English | |
| dc.language.iso | en_US | |
| dc.publisher | دانشگاه خوارزمی | fa_IR |
| dc.relation.ispartof | پژوهش های ریاضی | fa_IR |
| dc.relation.ispartof | Mathematical Researches | en_US |
| dc.relation.isversionof | https://dx.doi.org/10.29252/mmr.2.1.1 | |
| dc.subject | Commuting automorphisms | en_US |
| dc.subject | Fixed point free automorphisms | en_US |
| dc.subject | p-groups. | en_US |
| dc.subject | alg | en_US |
| dc.title | Some Remarks on Commuting Fixed Point Free Automorphisms of Groups | en_US |
| dc.type | Text | en_US |
| dc.citation.volume | 2 | |
| dc.citation.issue | 1 | |
| dc.citation.spage | 1 | |
| dc.citation.epage | 6 | |
