Higher homotopy commutativity in localized groups

Higher homotopy commutativity in localized groups
复制标题

局域群中较高的同伦交换性

DOI:
10.1007/bf02572359
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发表时间:
1995
影响因子:
0.8
通讯作者:
Laia Saümell
Laia Saümell
中科院分区:
数学2区
文献类型:
--
作者:
Laia Saümell

文献摘要

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在[6]中,McGiant给出了G(p)对所有素数p同伦交换或非同伦交换的完整描述。由于局部化与拓扑群的乘积交换,且拓扑群的乘积是同伦交换的当且仅当每个因子也是同伦交换的,因此研究G简单的情形就足够了。
In [6] McGibbon give a complete description of the homotopy commutativity or not of G (p), for all primes p. Since the localization commutes with the products and a product of topological groups is homotopy commutative if and only if each factor is also homotopy commutative, it suffices to study the case G simple.