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A Class Of Permutation Groups Of Prime Degree

Published online by Cambridge University Press:  20 November 2018

K. D. Fryer
K. D. Fryer*
Affiliation:
Royal Military College of Canada
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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 that

1.2 tq = p − 1.

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 7 , 1955 , pp. 24 - 34
Copyright
Copyright © Canadian Mathematical Society 1955

References

1. Brauer, R., On permutation groups of prime degree and related classes of groups, Ann. Math., 44 (1943), 59–79.Google Scholar
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