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Induced Representations and Alternating Groups

Published online by Cambridge University Press:  20 November 2018

B. M. Puttaswamaiah
Affiliation:
Carleton University and University of Toronto
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This paper is based on part of the thesis of one of the authors (5), submitted at the University of Toronto in 1963. In the first part of the paper a result on induced representations (2, 4, 9) is generalized slightly and a number of corollaries are derived. In the rest of the paper a special case of this result is applied to put the representation theory of the alternating group on a par with that of the symmetric group. A knowledge of the representation theory of Sn (7) on the part of the reader is assumed.

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Type
Research Article
Copyright
Copyright © Canadian Mathematical Society 1964