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arXiv · 2206.00963

Equivariant self-homotopy equivalences of product spaces

Gopal Chandra Dutta·Debasis Sen·Ajay Singh Thakur
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Abstract

Let G be a finite group. We study the group of G-equivariant self-homotopy equivalences of product of G-spaces. For a product of n-spaces, we represent it as product of n-subgroups under the assumption of equivariant reducibility. Further we describe each factor as a split short exact sequence. Also, we obtain an another kind of factorisation, called $LU$ type decomposition, as product of two subgroups.

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Gopal Chandra Dutta, Debasis Sen, Ajay Singh Thakur. 2022-06-02. Equivariant self-homotopy equivalences of product spaces. https://arxiv.org/abs/2206.00963

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