Determination of socle series using the condensation method

DOI10.1006/jsco.1999.1009zbMath0983.20010OpenAlexW2003016514MaRDI QIDQ5928887

Klaus Lux, Markus Wiegelmann

Publication date: 12 December 2001

Published in: Journal of Symbolic Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jsco.1999.1009

zbMATH Keywords

algorithmsidempotentsfinite groupssocle seriescondensation methodgenerating setsprojective indecomposable modules

Mathematics Subject Classification ID

Related Items (13)

Computing Projective Indecomposable Modules and Higher Cohomology Groups ⋮ Computing Homomorphism Spaces between Modules over Finite Dimensional Algebras ⋮ Broué's abelian defect group conjecture and 3-decomposition numbers of the sporadic simple Conway group \(Co_1\). ⋮ Broué's Abelian defect group conjecture for the sporadic simple Janko group \(J_4\) revisited. ⋮ Broué's Abelian defect group conjecture holds for the sporadic simple Conway group \(Co_3\). ⋮ The Broué conjecture for the faithful 3-blocks of 4.\(M_{22}\). ⋮ Testing isomorphism of modules. ⋮ The Brauer characters of the sporadic simple Harada–Norton group and its automorphism group in characteristics 2 and 3 ⋮ Matching simple modules of condensation algebras ⋮ Broué's Abelian defect group conjecture holds for the Harada-Norton sporadic simple group \(HN\). ⋮ On the Action of the Sporadic Simple Baby Monster Group on its Conjugacy Class 2B ⋮ Vertices of Lie modules. ⋮ The Lie algebra structure of the degree one Hochschild cohomology of the blocks of the sporadic Mathieu groups

Uses Software

• GAP
• MeatAxe

Cites Work

• The modular characters of the Mathieu groups
• Peakword condensation and submodule lattices: An application of the Meat- Axe
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