It is well known that the Borsuk–Ulam theorem holds for elementary abelian p-groups $$C_p{}^k$$Cpk. When the Borsuk–Ulam theorem holds for a finite group G, we say that G has the… Click to show full abstract
It is well known that the Borsuk–Ulam theorem holds for elementary abelian p-groups $$C_p{}^k$$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.
Keywords:
elementary abelian;
finite groups;
borsuk ulam;
ulam property;
group
Journal Title: Journal of Fixed Point Theory and Applications
Year Published: 2019
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Journal Title: Journal of Fixed Point Theory and Applications
Year Published: 2019
Link to full text (if available)
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recommendations!