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A Class Of Permutation Groups Of Prime Degree

Published online by Cambridge University Press:  20 November 2018

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
Copyright
Copyright © Canadian Mathematical Society 1955

References

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