On the Chern classes of the regular representations of some finite groups

DOI10.1017/S0013091500016746zbMath0481.20033MaRDI QIDQ3937577

R. James Milgram, Benjamin M. Mann

Publication date: 1982

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

zbMATH Keywords

Chern classesmodular invariantsregular representationcohomology of symmetric groupsPL cobordism ring

Mathematics Subject Classification ID

Cohomology of groups (20J06) Bordism and cobordism theories and formal group laws in algebraic topology (55N22) Other types of cobordism (57R90) Homology of classifying spaces and characteristic classes in algebraic topology (55R40) Cobordism and concordance in PL-topology (57Q60)

Related Items (10)

The Cohomology of the Symmetric Groups ⋮ A Borsuk--Ulam theorem for \((\mathbb Z_p)^k\)-actions on products of \((\text{mod}\,p)\) homology spheres ⋮ Modular invariant theory of parabolic subgroups of \(GL_ n(\mathbb{F}_ q)\) and the associated Steenrod modules ⋮ Waist of the sphere for maps to manifolds ⋮ Beyond the Borsuk–Ulam Theorem: The Topological Tverberg Story ⋮ The Action of the Steenrod Squares on the Modular Invariants of Linear Groups ⋮ Analogues of the central point theorem for families with \(d\)-intersection property in \(\mathbb R^d\) ⋮ Invariant theory and \(H^ *(GL_ n({\mathbb{F}}_ p);{\mathbb{F}}_ p)\) ⋮ Noetherian cohomology rings and finite loop spaces with torsion ⋮ Equivariant topology of configuration spaces

Cites Work

• The Adams conjecture
• On the cohomology and K-theory of the general linear groups over a finite field
• The Characters of the Finite General Linear Groups
• The Cohomology of the Symmetric Groups

This page was built for publication: On the Chern classes of the regular representations of some finite groups