Finite exceptional p-groups of small order

Lemieux, S. (2007). Finite exceptional p-groups of small order. doi:https://doi.org/10.1080/00927870701246924

Title: Finite exceptional p-groups of small order
Author(s) or Creator(s): Lemieux, Stephane
Date: 2007
Peer Reviewed?: Yes
Keywords: faithful representation
finite exceptional groups
minimal degree
p-groups
permutation groups
Description: 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.
Publication Information: Lemieux, S. (2007). Finite exceptional p-groups of small order. COMMUNICATIONS IN ALGEBRA, 35(6), 1890–1894. https://doi.org/10.1080/00927870701246924
DOI: https://doi.org/10.1080/00927870701246924
Type of Item: Journal Articles
Language: English
MacEwan Users Only: https://library.macewan.ca/full-record/edswsc/000247162500009

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