On the finite imprimitive unitary reflection groups

DOI10.1016/0021-8693(77)90336-2zbMath0348.20003OpenAlexW1980194242MaRDI QIDQ1234347

E. W. Read

Publication date: 1977

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-8693(77)90336-2

Mathematics Subject Classification ID

Representations of finite symmetric groups (20C30) Representation theory for linear algebraic groups (20G05) Primitive groups (20B15) Permutation groups (20B99)

Related Items (18)

Automorphism Groups of the Imprimitive Complex Reflection Groups II ⋮ The character tables of the two-dimensional complex reflection groups ⋮ Perfect isometries between blocks of complex reflection groups ⋮ On the blocks of certain subgroups of monomial groups. II ⋮ Hurwitz numbers for reflection groups I: generatingfunctionology ⋮ An inversion statistic on the generalized symmetric groups ⋮ On quasi Steinberg characters of complex reflection groups ⋮ Setwise intersecting families in classical Coxeter groups ⋮ Intersecting families in classical Coxeter groups ⋮ On representation theory of partition algebras for complex reflection groups ⋮ Representations of complex imprimitive reflection groups ⋮ Linear groups ⋮ Erdős-Ko-Rado theorem for irreducible imprimitive reflection groups ⋮ Reflection Groups ⋮ The Calogero-Moser partition for G(m,d,n) ⋮ Automorphisms of complex reflection groups ⋮ Representations of the imprimitive complex reflection groups G(m, 1n) ⋮ Representations of finite abelian groups Cⁿ_m,p

Cites Work

• Representations of permutation groups II
• A theorem on the restriction of group characters, and its application to the character theory of \(SL(n,q)\)
• Representations induced in an invariant subgroup
• The Schur Multiplier of the Generalized Symmetric Group
• On the characters of the Weyl group of type D
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