Elementary abelian p-groups are the only finite groups with the Borsuk-Ulam property

被引：0

作者：

Nagasaki, Ikumitsu ^{[1
]}

机构：

[1] Kyoto Prefectural Univ Med, Dept Math, Sakyo Ku, 1-5 Shimogamo,Hangi Cho, Kyoto 6060823, Japan

来源：

JOURNAL OF FIXED POINT THEORY AND APPLICATIONS | 2019年 / 21卷 / 01期

关键词：

Borsuk-Ulam theorem; Borsuk-Ulam property; BU-group; representation sphere; equivariant map; COHOMOLOGY RINGS; THEOREM; EXISTENCE; MAPS;

D O I：

10.1007/s11784-018-0654-y

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

It is well known that the Borsuk-Ulam theorem holds for elementary abelian p-groups Cpk. When the Borsuk-Ulam theorem holds for a finite group G, we say that G has the Borsuk-Ulam property or G is a BU-group. In this paper, we show that a non-abelian p-group of exponent p is not a BU-group, which leads to a complete classification of finite BU-groups, namely finite BU-groups are only elementary abelian p-groups.

引用

页数：14

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