On projective representations of finite wreath products

Durbin, John R.; Farmer, K. Bolling

doi:10.1090/S0025-5718-1977-0453855-4

On projective representations of finite wreath products
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by John R. Durbin and K. Bolling Farmer PDF

Math. Comp. 31 (1977), 527-535 Request permission

Abstract:

The theory of induced projective representations is applied to finite wreath products, yielding algorithms which add to the collection of groups for which projective representations can be computed systematically. For finite Abelian and Abelian-wreath-cyclic groups, the factor sets are determined explicitly by establishing a one-to-one correspondence between certain lower triangular matrices and the inequivalent factor sets of these two classes of groups. This correspondence is used to determine the number and degrees of the inequivalent, irreducible projective representations.

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