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

• Опубліковано в: : Algebra and Discrete Mathematics
• Дата: 2015
• Автори: Gerdiy, O., Oliynyk, B.
• Формат: Стаття
• Мова: English
• Опубліковано: Інститут прикладної математики і механіки НАН України 2015
• Онлайн доступ: https://nasplib.isofts.kiev.ua/handle/123456789/152787
• Назва журналу: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Цитувати: 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.

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 so...