The geometry and cohomology of the Mathieu group \(M_{12}\)

DOI10.1016/0021-8693(91)90285-GzbMath0743.20052WikidataQ29035869 ScholiaQ29035869MaRDI QIDQ1174632

R. James Milgram, John S. Maginnis, Adem, Alejandro

Publication date: 25 June 1992

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

zbMATH Keywords

Poincaré seriesgenerators and relationscohomology ringSylow 2-subgroupLyndon-Hochschild- Serre spectral sequence496-dimensional representationselementary abelian 2- subgroups

Mathematics Subject Classification ID

Simple groups: sporadic groups (20D08) Sylow subgroups, Sylow properties, (pi)-groups, (pi)-structure (20D20) Finite generation, finite presentability, normal forms (diamond lemma, term-rewriting) (16S15) Cohomology of groups (20J06) Software, source code, etc. for problems pertaining to group theory (20-04)

Related Items

Conway's group \(Co_ 3\) and the Dickson invariants, Local control of group cohomology, Some homotopy equivalences for sporadic geometries, Cohomology of the double cover of the Mathieu group \(M_{12}\), Wythoff polytopes and low-dimensional homology of Mathieu groups., On fixed point sets and Lefschetz modules for sporadic simple groups., Symmetric invariants and cohomology of groups

Cites Work

• The modular characters of the Mathieu groups
• Homology of the infinite symmetric group
• Homotopy properties of the poset of nontrivial p-subgroups of a group
• A local method in group cohomology
• Symmetric invariants and cohomology of groups
• A characterization of the Mathieu simple groups. I, II
• The mod 2 cohomology rings of extra-special 2-groups and the spinor groups
• On the cohomology and K-theory of the general linear groups over a finite field
• The Subgroup Structure of the Mathieu Group M 12
• The oriented topological and 𝑃𝐿 cobordism rings
• The Cohomology of the Symmetric Groups
• Diagrammatic methods for modular representations and cohomology
• Automorphisms of trivalent graphs
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