Elementary abelian $$\varvec{p}$$p-groups are the only finite groups with the Borsuk–Ulam property
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Fixed Point Theory and Applications"
DOI: 10.1007/s11784-018-0654-y
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… read more here.
Keywords: elementary abelian; finite groups; borsuk ulam; ulam property ... See more keywords
The Mazur–Ulam property for two-dimensional somewhere-flat spaces
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DOI: 10.1016/j.laa.2018.09.024
Abstract: Abstract In this paper, we show that if X is a two-dimensional real normed space such that its unit sphere contains a line segment with the distance between its endpoints being greater than 1, then… read more here.
Keywords: mazur ulam; property two; ulam property; unit sphere ... See more keywords