Osaka Journal of Mathematics

Equivariant maps between representation spheres of cyclic ${p}$-groups

Ko Ohashi

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This paper deals with necessary conditions for the existence of equivariant maps between the unit spheres of unitary representations of a cyclic $p$-group $G$. T. Bartsch gave a necessary condition for some unitary representations of $G$ by using equivariant $K$-theory. We give two necessary conditions following Bartsch's approach. One is a generalization of Bartsch's result for any unitary representation of $G$ which does not contain the trivial representation. The other is a stronger necessary condition for some special cases.

Article information

Osaka J. Math., Volume 54, Number 4 (2017), 647-659.

First available in Project Euclid: 20 October 2017

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Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 55M35: Finite groups of transformations (including Smith theory) [See also 57S17]
Secondary: 19L64: Computations, geometric applications


Ohashi, Ko. Equivariant maps between representation spheres of cyclic ${p}$-groups. Osaka J. Math. 54 (2017), no. 4, 647--659.

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