Conway's group \(Co_ 3\) and the Dickson invariants

DOI10.1007/BF02568192zbMath0853.55018MaRDI QIDQ1343712

David John Benson

Publication date: 30 January 1995

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/156016

zbMATH Keywords

classifying spaceDickson invariantsfinite loop spaceConway's sporadic simple group

Mathematics Subject Classification ID

Simple groups: sporadic groups (20D08) Classifying spaces of groups and (H)-spaces in algebraic topology (55R35)

Related Items

Propagating sharp group homology decompositions., Some homotopy equivalences for sporadic geometries, Weights in a Benson-Solomon block, Punctured groups for exotic fusion systems, The mod-2 cohomology ring of the third Conway group is Cohen-Macaulay., New Collections ofp-Subgroups and Homology Decompositions for Classifying Spaces of Finite Groups, On a homotopy relation between the 2-local geometry and the Bouc complex for the sporadic group \(Co_3\)., A group-theoretic approach to a family of 2-local finite groups constructed by Levi and Oliver., The cohomology of the Sylow 2-subgroup of the Higman-Sims group, On fixed point sets and Lefschetz modules for sporadic simple groups., The Cohomologies of the Sylow 2-Subgroups of a Symplectic Group of Degree Six and of the Third Conway Group

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The geometry and cohomology of the Mathieu group \(M_{12}\)
• Homotopy decomposition of classifying spaces via elementary Abelian subgroups
• Finite groups with Sylow 2-subgroups of type .3
• Homotopy fixed-point methods for Lie groups and finite loop spaces
• Homotopy limits, completions and localizations
• The maximal subgroups of Conway's group C\(_3\) and McLaughlin's group
• A primer on the Dickson invariants
• A New Finite Loop Space at the Prime Two