Open Access
Translator Disclaimer
October 2017 Equivariant maps between representation spheres of cyclic ${p}$-groups
Ko Ohashi
Osaka J. Math. 54(4): 647-659 (October 2017).

Abstract

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.

Citation

Download Citation

Ko Ohashi. "Equivariant maps between representation spheres of cyclic ${p}$-groups." Osaka J. Math. 54 (4) 647 - 659, October 2017.

Information

Published: October 2017
First available in Project Euclid: 20 October 2017

zbMATH: 06821129
MathSciNet: MR3715353

Subjects:
Primary: 55M35
Secondary: 19L64

Rights: Copyright © 2017 Osaka University and Osaka City University, Departments of Mathematics

JOURNAL ARTICLE
13 PAGES


SHARE
Vol.54 • No. 4 • October 2017
Back to Top