On the cohomology of the sporadic simple group J4

DOI10.1017/S0305004100075940zbMath0828.20037MaRDI QIDQ5288377

David J. Green

Publication date: 18 December 1995

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

zbMATH Keywords

integral cohomology ringSylow \(p\)- subgroupsextraspecial groupsporadic simple group \(J_ 4\)ring of stable classes

Mathematics Subject Classification ID

Simple groups: sporadic groups (20D08) Cohomology of groups (20J06)

Related Items (9)

Reed-Muller codes, the fourth cohomology group of a finite group, and the \(\beta\)-invariant. ⋮ ModpCohomology Algebra of Special Linear Group ⋮ Representations of the double Burnside algebra and cohomology of the extraspecial \(p\)-group ⋮ The splitting of cohomology of \(p\)-groups with rank 2 ⋮ The mod-2 cohomology ring of the third Conway group is Cohen-Macaulay. ⋮ Representations of the double Burnside algebra and cohomology of the extraspecial \(p\)-group. II. ⋮ On the homotopy type of the non-completed classifying space of a p-local finite group ⋮ On odd degree parts of cohomology of sporadic simple groups whose Sylow \(p\)-subgroup is the extra-special \(p\)-group of order \(p^3\) ⋮ Third homology of some sporadic finite groups

Cites Work

• Characters and cohomology of finite groups
• A new finite simple group of order 86,775,571,046,077,562,880 which possesses \(M_{24}\) and the full covering group of \(M_{22}\) as subgroups
• The Maximal Subgroups of J ₄
• The Integral Cohomology Rings of Groups of Order p 3

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