A Class Of Permutation Groups Of Prime Degree
- 1 January 1955
- journal article
- Published by Canadian Mathematical Society in Canadian Journal of Mathematics
- Vol. 7, 24-34
- https://doi.org/10.4153/cjm-1955-004-3
Abstract
In (1), using the theory of group representations, Brauer studied groups of finite order g containing elements A of prime period p which commute only with their own powers Ai. If is a p-Sylow subgroup of , the normalizer can be generated by A and another element B such that 1.1 ,where ϒ is a primitive root (mod p), and t and q are positive integers such that1.2 tq = p − 1.Keywords
This publication has 2 references indexed in Scilit:
- The Mathieu GroupsCanadian Journal of Mathematics, 1951
- On Permutation Groups of Prime Degree and Related Classes of GroupsAnnals of Mathematics, 1943