REMARKS ON DIMENSION OF HOMOLOGY SPHERES WITH ODD NUMBERS OF FIXED POINTS OF FINITE GROUP ACTIONS

DOI10.2206/kyushujm.74.255zbMath1469.57037OpenAlexW3112500357MaRDI QIDQ4995433

Shunsuke Tamura

Publication date: 24 June 2021

Published in: Kyushu Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2206/kyushujm.74.255

zbMATH Keywords

fixed pointfinite group action

Mathematics Subject Classification ID

Groups acting on specific manifolds (57S25) Finite groups of transformations in algebraic topology (including Smith theory) (55M35)

Related Items (2)

Appendix to P. Mizerka's theorem ⋮ Exclusions of smooth actions on spheres of the non-split extension of \(C_2\) by \(\mathrm{SL}(2,5)\)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• On one fixed point actions on spheres
• One fixed point actions on low-dimensional spheres
• Surgery on products with finite fundamental group
• Most standard spheres have smooth one fixed point actions of \(A_ 5\). II
• The fixed point set of a finite group action on a homotopy four sphere
• A remark on a fixed point of finite group action on \(S^ 4\)
• Smith equivalence and finite Oliver groups with Laitinen number 0 or 1
• Spheres not admitting smooth odd-fixed-point actions of \(S_5\) and \(SL(2, 5)\)
• A necessary condition for the Smith equivalence of G-modules and its sufficiency
• $\mathrm {SL}(2, 5)$ Has no Smooth Effective One-fixed-point Action on $S^8$
• Actions of Groups of Odd Order on Compact, Orientable Manifolds
• Finite groups with smooth one fixed point actions on spheres
• Nonexistence of smooth effective one fixed point actions of finite Oliver groups on low-dimensional spheres
• The dimension of spheres with smooth one fixed point actions

This page was built for publication: REMARKS ON DIMENSION OF HOMOLOGY SPHERES WITH ODD NUMBERS OF FIXED POINTS OF FINITE GROUP ACTIONS