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
JavaScript is disabled for your browser. Some features of this site may not work without it.
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:
531
Завантажень:
164
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.
