$\mathrm {SL}(2, 5)$ Has no Smooth Effective One-fixed-point Action on $S^8$

DOI10.4064/ba8040-3-2016zbMath1352.57037OpenAlexW2408095889MaRDI QIDQ3187227

Agnieszka Borowiecka

Publication date: 2 September 2016

Published in: Bulletin Polish Acad. Sci. Math. (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4064/ba8040-3-2016

zbMATH Keywords

one fixed point actions

Mathematics Subject Classification ID

Groups acting on specific manifolds (57S25) Finite transformation groups (57S17)

Related Items

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 \(\mathrm{SL}(2,5)\) ⋮ Nonexistence of smooth effective one fixed point actions of finite Oliver groups on low-dimensional spheres ⋮ REMARKS ON DIMENSION OF HOMOLOGY SPHERES WITH ODD NUMBERS OF FIXED POINTS OF FINITE GROUP ACTIONS

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