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The Nilpotency Class Of The p-Sylow Subgroups of GL(n, q) Where (p, q) = 1

Published online by Cambridge University Press:  20 November 2018

Arie Bialostocki
Arie Bialostocki*
Affiliation:
University of Calgary, Calgary, Alberta
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Abstract

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Formulae for the nilpotency class of the p-sylow subgroups of GL(n, q) where (p, q) = 1 are derived. These formulae are used in author's following paper: “On the other pα qβ theorem of Burnside”.

Keywords

20G4020D15
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 29 , Issue 2 , 01 June 1986 , pp. 218 - 223
Copyright
Copyright © Canadian Mathematical Society 1986

References

1. Bialostocki, A., On the other pαqβ theorem of Burnside (Submitted). Google Scholar
2. Carter, R. and Fong, P., The Sylow 2-Subgroups of the Finite Classicial Groups, J. Algebra 1, (1964), pp. 139–151.Google Scholar
3. Herzog, M. and Praeger, C.E., On the order of linear groups of fixed finite exponent, Journal of Algebra Vol. 43, No.1 (1976), pp. 216–220.Google Scholar
4. Huppert, B., Endliche Gruppen I, Springer Verlag, Berlin Heidelberg, New York, 1967.Google Scholar
5. Kochendörffer, R., Group Theory, McGraw-Hill, London, 1970.Google Scholar
6. Liebeck, H., Concerning Nilpotent Wreath Products, Proc. Cambridge Philos. Soc. 58 (1962), pp. 443–451.Google Scholar
7. Weir, A., Sylow p-Subgroups of the Classical Groups Over Finite Fields with Characteristic Prime top, Proc. Amer. Math. Soc. 6 (1955), pp. 529–533.Google Scholar