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Representations and automorphisms of some wreath products

Published online by Cambridge University Press:  24 October 2008

Roderick Gow
Roderick Gow
Affiliation:
Trinity College, Dublin
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Extract

In this paper we study the faithful irreducible representations of certain families of wreath products and show how a particular class of such representations is related to the automorphisms of these groups. Our methods enable us to calculate the orders of the automorphism groups, although they do not deal with their structure. The wreath products that we consider here include most of the Sylow p-subgroups of the classical groups, which are described in (1) and (4).

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 85 , Issue 1 , January 1979 , pp. 49 - 53
Copyright
Copyright © Cambridge Philosophical Society 1979

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References

REFERENCES

(1)Carter, R. W. and Fong, P.The Sylow 2-subgroups of the finite classical groups. J. Algebra 1 (1964), 139–151.CrossRefGoogle Scholar
(2)Gow, R. Ph.D. thesis, University of Liverpool (1973).Google Scholar
(3)Kerber, A., Representations of permutation groups: II. Lecture Notes in Math. no. 495, Springer-Verlag.Google Scholar
(4)Weir, A.Sylow p-subgroups of the classical groups over finite fields with characteristic coprime to p. Proc. Amer. Math. Soc. 6 (1955), 529–533.Google Scholar