On the decomposition of the exterior square of an indecomposable module of a cyclic p-group

DOI10.1515/JGT.2006.042zbMath1115.20001OpenAlexW2037400439MaRDI QIDQ3413638

Roderick Gow, Thomas J. Laffey

Publication date: 13 December 2006

Published in: Journal of Group Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/jgt.2006.042

zbMATH Keywords

decomposition theoremsindecomposable modulessymmetric squaresexterior squarescyclic \(p\)-groups

Mathematics Subject Classification ID

Group rings of finite groups and their modules (group-theoretic aspects) (20C05)

Related Items (9)

Hesselink normal forms of unipotent elements in some representations of classical groups in characteristic two ⋮ Decomposing modular tensor products: `Jordan partitions', their parts and \(p\)-parts ⋮ Exterior and symmetric powers of modules for cyclic 2-groups. ⋮ Adjoint Jordan blocks for simple algebraic groups of type \(C_{\ell}\) in characteristic two ⋮ Adams operations on the Green ring of a cyclic group of prime-power order ⋮ Decomposition of exterior and symmetric squares in characteristic two ⋮ Decomposing tensor products and exterior and symmetric squares ⋮ Jordan blocks of unipotent elements in some irreducible representations of classical groups in good characteristic ⋮ Generalized Artin–Schreier polynomials

Cites Work

• The decomposition of products in the modular representation ring of a cyclic group of prime power order
• Elementary divisors of tensor products and \(p\)-ranks of binomial matrices.
• Groups with a T. I. cyclic Sylow subgroup
• How to compute the elementary divisors of the tensor product of two matrices
• On the jordan form of the tensor product over fields of prime characteristic
• Decomposition of Products of Modular Representations
• The Modular Representation Ring of a Cyclic p -Group

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