Appendix to P. Mizerka's theorem

zbMath1518.57047MaRDI QIDQ6046557

Masaharu Morimoto

Publication date: 11 May 2023

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

Full work available at URL: https://projecteuclid.org/journals/osaka-journal-of-mathematics/volume-60/issue-2/Appendix-to-P-Mizerkas-Theorem/5661ojm.full

zbMATH Keywords

homology sphereeffective smooth actiongroup SL(2, 5)group TL(2,5)

Mathematics Subject Classification ID

Finite groups of transformations in algebraic topology (including Smith theory) (55M35) Finite transformation groups (57S17)

Cites Work

• Fixed-point sets of group actions on finite acyclic complexes
• Spheres not admitting smooth odd-fixed-point actions of \(S_5\) and \(SL(2, 5)\)
• Exclusions of smooth actions on spheres of the non-split extension of \(C_2\) by \(\mathrm{SL}(2,5)\)
• Smith equivalent ${\pmb {{\rm {Aut}}(A_6)}}$-representations are isomorphic
• Pseudofree Representations and 2-Pseudofree Actions on Spheres
• Finite groups with smooth one fixed point actions on spheres
• REMARKS ON DIMENSION OF HOMOLOGY SPHERES WITH ODD NUMBERS OF FIXED POINTS OF FINITE GROUP ACTIONS

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