Elementary abelian $$\varvec{p}$$p-groups are the only finite groups with the Borsuk–Ulam property
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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
Parametrized Borsuk–Ulam theorems for free involutions on FPm×S3
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DOI: 10.1016/j.topol.2018.03.015
Abstract: Abstract Let X be a finitistic space with mod 2 cohomology algebra isomorphic to that of F P m × S 3 , where F = R , C or H . Let ( X… read more here.
Keywords: involutions fpm; free involutions; theorems free; borsuk ulam ... See more keywords
Borsuk–Ulam theorem for the loop space of a sphere
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DOI: 10.1016/j.topol.2018.10.004
Abstract: We study Borsuk-Ulam type results for the loopspace of an euclidean sphere without loops equal to their inverses. read more here.
Keywords: ulam theorem; topology; loop space; borsuk ulam ... See more keywords