The gap hypothesis for finite groups which have an Abelian quotient group not of order a power of 2.

DOI10.2969/jmsj/06410091zbMath1251.20013OpenAlexW1992562345MaRDI QIDQ763978

Toshio Sumi

Publication date: 3 April 2012

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

Full work available at URL: https://doi.org/10.2969/jmsj/06410091

zbMATH Keywords

finite groupsfinite dimensional real representation spacesgap groupsgap modules

Mathematics Subject Classification ID

Ordinary representations and characters (20C15) Sylow subgroups, Sylow properties, (pi)-groups, (pi)-structure (20D20) Group rings of finite groups and their modules (group-theoretic aspects) (20C05)

Related Items (3)

A new family of finite Oliver groups satisfying the Laitinen Conjecture ⋮ A necessary condition for the Smith equivalence of G-modules and its sufficiency ⋮ Tangential representations of one-fixed-point actions on spheres and Smith equivalence

Cites Work

• Equivariant L-theory. I
• Equivariant surgery theory: Deleting-inserting theorems of fixed point manifolds on spheres and disks
• Gap conditions for representations of symmetric groups
• Deleting-inserting theorem for smooth actions of finite nonsolvable groups on spheres
• Finite groups with smooth one fixed point actions on spheres
• GAP MODULES FOR SEMIDIRECT PRODUCT GROUPS
• Gap modules for direct product groups.
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