Spin representations of twisted central products of double covering finite groups and the case of permutation groups.

DOI10.2969/JMSJ/06641191zbMath1329.20010OpenAlexW2027879266MaRDI QIDQ482861

Akihito Hora, Takeshi Hirai

Publication date: 6 January 2015

Published in: Journal of the Mathematical Society of Japan (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.jmsj/1414090240

zbMATH Keywords

symmetric groupsfinite groupscharacterscentral extensionsYoung subgroupsirreducible representationsdouble coversprojective representationsspin representationstwisted central products

Mathematics Subject Classification ID

Combinatorial aspects of representation theory (05E10) Representations of finite symmetric groups (20C30) Extensions, wreath products, and other compositions of groups (20E22) Projective representations and multipliers (20C25)

Related Items (1)

Projective representations and spin characters of complex reflection groups \(G(m,p,n)\) and \(G(m,p,\infty)\), III.

Cites Work

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• Twisted products and projective representations of monomial groups
• Asymptotic theory of characters of the symmetric group
• Projective representations and spin characters of complex reflection groups \(G(m,p,n)\) and \(G(m,p,\infty)\).
• Principal indecomposable modules for twisted central products
• The Schur Multiplier of the Generalized Symmetric Group
• On the Schur Multipliers of the Finite Imprimitive Unitary Reflection Groups G(m, p, n )

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