Finite exceptional p-groups of small order
| dc.contributor.author | Lemieux, Stephane | |
| dc.date.accessioned | 2020-10-16 | |
| dc.date.accessioned | 2022-05-31T01:15:55Z | |
| dc.date.available | 2022-05-31T01:15:55Z | |
| dc.date.issued | 2007 | |
| dc.description.abstract | A finite group is said to be exceptional if its minimal degree of a faithful permutation representation is strictly less than that of one of its factor groups, called a distinguished quotient. It was previously unknown if exceptional p-groups of order less than p 6 existed for p an odd prime. The author proved in his M.Sc thesis that there are none of order ≤p 4 and gave restrictions on the possible existence of distinguished quotients of exceptional groups of order p 5. In this article, an exceptional p-group of order p 5 is exhibited for p any odd prime. | |
| dc.description.uri | https://library.macewan.ca/full-record/edswsc/000247162500009 | |
| dc.identifier.citation | Lemieux, S. (2007). Finite exceptional p-groups of small order. COMMUNICATIONS IN ALGEBRA, 35(6), 1890–1894. https://doi.org/10.1080/00927870701246924 | |
| dc.identifier.doi | https://doi.org/10.1080/00927870701246924 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14078/1944 | |
| dc.language | English | |
| dc.language.iso | en | |
| dc.rights | All Rights Reserved | |
| dc.subject | faithful representation | |
| dc.subject | finite exceptional groups | |
| dc.subject | minimal degree | |
| dc.subject | p-groups | |
| dc.subject | permutation groups | |
| dc.title | Finite exceptional p-groups of small order | en |
| dc.type | Article | |
| dspace.entity.type |