论文标题

产品空间的模棱两可的自我态度等效度

Equivariant self-homotopy equivalences of product spaces

论文作者

Dutta, Gopal Chandra, Sen, Debasis, Thakur, Ajay Singh

论文摘要

令G为有限的组。我们研究了G空间产物的G-均衡型自动助理等效性。对于N空间的乘积,我们将其表示为降低性可降低性的假设下的N-群的产物。此外,我们将每个因素描述为一个分裂的短序列。另外,我们获得了另一种分解,称为$ lu $ type分解,作为两个亚组的产物。

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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