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Normal p-subgroups of solvable linear groups

Published online by Cambridge University Press:  09 April 2009

John D. Dixon
John D. Dixon
Affiliation:
University of New South Wales
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In his paper [8], N. Itô gives an elegant proof that the Sylow p-group of a finite solvable linear group of degree n over the field of complex numbers is necessarily normal if p > n+1. Moreover he shows that this bound on p is the best possible when p is a Fermat prime (i.e. a prime of the form 2sk + 1) but that the bound may be improved to p > n when p is not a Fermat prime.

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 7 , Issue 4 , November 1967 , pp. 545 - 551
Copyright
Copyright © Australian Mathematical Society 1967

References

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