Smith equivalent ${\pmb {{\rm {Aut}}(A_6)}}$-representations are isomorphic

DOI10.1090/S0002-9939-08-08891-6zbMath1151.55003MaRDI QIDQ3533889

Masaharu Morimoto

Publication date: 24 October 2008

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

zbMATH Keywords

finite groupsSmith equivalent real \( G\)-modules

Mathematics Subject Classification ID

Groups acting on specific manifolds (57S25) Ordinary representations and characters (20C15) Finite groups of transformations in algebraic topology (including Smith theory) (55M35) Finite transformation groups (57S17)

Related Items (7)

Spheres not admitting smooth odd-fixed-point actions of \(S_5\) and \(SL(2, 5)\) ⋮ Appendix to P. Mizerka's theorem ⋮ A new family of finite Oliver groups satisfying the Laitinen Conjecture ⋮ The Smith set of the group \(S_{5} \times C_{2} \times \dots \times C_{2}\) ⋮ Nontrivial \(\mathcal P(G)\)-matched \(\mathfrak S\)-related pairs for finite gap Oliver groups ⋮ The Laitinen Conjecture for finite solvable Oliver groups ⋮ Tangential representations of one-fixed-point actions on spheres and Smith equivalence

Uses Software

• GAP

Cites Work

• Spherical isotropy representations
• Smith equivalence of representations for odd order cyclic groups
• s-Smith equivalent representations of dihedral groups
• Fixed-point sets of group actions on finite acyclic complexes
• Smooth compact Lie group actions on disks
• Relations between cyclotomic units and Smith equivalence of representations
• Smith equivalence for finite abelian groups
• Fixed points of periodic differentiable maps
• Smith equivalence and finite Oliver groups with Laitinen number 0 or 1
• Representations at fixed points of smooth actions of compact groups
• A Lefschetz fixed point formula for elliptic complexes. II: Applications
• Smith equivalence of representations
• New results and old problems in finite transformation groups
• Fixed points of periodic maps
• Actions of Groups of Odd Order on Compact, Orientable Manifolds
• Smith equivalence of representations for finite perfect groups
• Whitehead torsion
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