On representations of permutations groups as isometry groups of n-semimetric spaces
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
On representations of permutations groups as isometry groups of n-semimetric spaces
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| Creator |
Gerdiy, O.
Oliynyk, B. |
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| Description |
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.
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| Date |
2019-06-12T20:53:34Z
2019-06-12T20:53:34Z 2015 |
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| Type |
Article
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| Identifier |
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.
1726-3255 2010 MSC:54B25, 20B25, 54E40. http://dspace.nbuv.gov.ua/handle/123456789/152787 |
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| Language |
en
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| Relation |
Algebra and Discrete Mathematics
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| Publisher |
Інститут прикладної математики і механіки НАН України
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