A necessary condition for the Smith equivalence of G-modules and its sufficiency

DOI10.1515/ms-2015-0197zbMath1399.55002OpenAlexW2546492849MaRDI QIDQ2836151

Masaharu Morimoto

Publication date: 7 December 2016

Published in: Mathematica Slovaca (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/ms-2015-0197

zbMATH Keywords

fixed pointrepresentationSmith equivalenceSmith set

Mathematics Subject Classification ID

Ordinary representations and characters (20C15) Sylow subgroups, Sylow properties, (pi)-groups, (pi)-structure (20D20) Finite groups of transformations in algebraic topology (including Smith theory) (55M35) Finite transformation groups (57S17)

Related Items (1)

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

Cites Work

• Deleting and inserting fixed point manifolds under the weak gap condition
• The gap hypothesis for finite groups which have an Abelian quotient group not of order a power of 2.
• Nontrivial \(\mathcal P(G)\)-matched \(\mathfrak S\)-related pairs for finite gap Oliver groups
• Fixed-point sets of group actions on finite acyclic complexes
• Smith equivalence and finite Oliver groups with Laitinen number 0 or 1
• Deleting-inserting theorem for smooth actions of finite nonsolvable groups on spheres
• Tangential representations of one-fixed-point actions on spheres and Smith equivalence
• New results and old problems in finite transformation groups
• Smith equivalence of representations for finite perfect groups

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