On representations of permutations groups as isometry groups of \(n\)-semimetric spaces

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 gro...

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Bibliographic Details
Date:2018
Main Authors: Gerdiy, Oleg, Oliynyk, Bogdana
Format: Article
Language:English
Published: Lugansk National Taras Shevchenko University 2018
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Online Access:https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1176
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Journal Title:Algebra and Discrete Mathematics

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Algebra and Discrete Mathematics