On representations of permutations groups as isometry groups of n-semimetric spaces

dc.contributor.author	Gerdiy, O.
dc.contributor.author	Oliynyk, B.
dc.date.accessioned	2019-06-12T20:53:34Z
dc.date.available	2019-06-12T20:53:34Z
dc.date.issued	2015
dc.identifier.citation	On representations of permutations groups as isometry groups of n-semimetric spaces / O. Gerdiy, B. Oliynyk // Algebra and Discrete Mathematics. — 2015. — Vol. 19, № 1. — С. 58-66. — Бібліогр.: 13 назв. — англ.	uk_UA
dc.identifier.issn	1726-3255
dc.identifier.other	2010 MSC:54B25, 20B25, 54E40.
dc.identifier.uri	http://dspace.nbuv.gov.ua/handle/123456789/152787
dc.description.abstract	We prove that every finite permutation group can be represented as the isometry group of some n-semimetric space. We show that if a finite permutation group can be realized as the isometry group of some n-semimetric space then this permutation group can be represented as the isometry group of some (n+1)-semimetric space. The notion of the semimetric rank of a permutation group is introduced.	uk_UA
dc.language.iso	en	uk_UA
dc.publisher	Інститут прикладної математики і механіки НАН України	uk_UA
dc.relation.ispartof	Algebra and Discrete Mathematics
dc.title	On representations of permutations groups as isometry groups of n-semimetric spaces	uk_UA
dc.type	Article	uk_UA
dc.status	published earlier	uk_UA