On projective representations of finite wreath products

Authors:
John R. Durbin and K. Bolling Farmer

Journal:
Math. Comp. **31** (1977), 527-535

MSC:
Primary 20C25

DOI:
https://doi.org/10.1090/S0025-5718-1977-0453855-4

MathSciNet review:
0453855

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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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Additional Information

DOI:
https://doi.org/10.1090/S0025-5718-1977-0453855-4

Keywords:
Wreath products,
Abelian groups,
projective representations,
factor sets,
induced representations,
algorithm

Article copyright:
© Copyright 1977
American Mathematical Society