Наукова електронна бібліотека
періодичних видань НАН України
періодичних видань НАН України
On representations of permutations groups as isometry groups of n-semimetric spaces
Репозиторій DSpace/Manakin
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On representations of permutations groups as isometry groups of n-semimetric spaces
Інший ID:
2010 MSC:54B25, 20B25, 54E40.
Посилання:
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.
Дата:
2015
Переглядів:
484
Завантажень:
145
Анотація:
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.
