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ON CONSTRUCTING REPRESENTATIONS OF THE SYMMETRIC GROUPS
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 Title & Authors
ON CONSTRUCTING REPRESENTATIONS OF THE SYMMETRIC GROUPS
Vahid Dabbaghian-Abdoly;
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 Abstract
Let G be a symmetric group. In this paper we describe a method that for a certain irreducible character X of G it finds a subgroup H such that the restriction of X on H has a linear constituent with multiplicity one. Then using a well known algorithm we can construct a representation of G affording X.
 Keywords
symmetric group;partition;irreducible representation;
 Language
English
 Cited by
 References
1.
V. Dabbaghian-Abdoly, Constructing representations of finite simple groups and covers, Canad. J. Math. 58 (2006), 23-38 crossref(new window)

2.
J. D. Dixon, Constructing representations of finite groups, DIMACS Ser. Discrete Math. Theoret. Comput. Sci. 11, Amer. Math. Soc., Providence, RI (1993), 105- 112

3.
G. James and A. Kerber, The representation theory of the symmetric group, En- cyclopedia of Mathematics and its Applications 16, Addison-Wesley Publishing co., London, 1981