Four series of hyperbolic space groups with simplicial domains, and their supergroups
Апстракт
Hyperbolic space groups are isometry groups, acting discontinuously on the hyperbolic 3-space with compact fundamental domain. One possibility to classify them is to look for fundamental domains of these groups. Here are considered supergroups for four series of groups with simplicial fundamental domains. Considered simplices, denoted in [9] by T19, T46, T59, belong to family F12, while T31 belongs to F27.
Кључне речи:
trunc-simplex / symmetries / simplex / poincarè algorithm / hyperbolic space group / fundamental domainИзвор:
Kragujevac Journal of Mathematics, 2011, 35, 2, 303-315Издавач:
- Univerzitet u Kragujevcu - Prirodno-matematički fakultet, Kragujevac
Институција/група
Fakultet organizacionih naukaTY - JOUR AU - Stojanović, Milica PY - 2011 UR - https://rfos.fon.bg.ac.rs/handle/123456789/828 AB - Hyperbolic space groups are isometry groups, acting discontinuously on the hyperbolic 3-space with compact fundamental domain. One possibility to classify them is to look for fundamental domains of these groups. Here are considered supergroups for four series of groups with simplicial fundamental domains. Considered simplices, denoted in [9] by T19, T46, T59, belong to family F12, while T31 belongs to F27. PB - Univerzitet u Kragujevcu - Prirodno-matematički fakultet, Kragujevac T2 - Kragujevac Journal of Mathematics T1 - Four series of hyperbolic space groups with simplicial domains, and their supergroups EP - 315 IS - 2 SP - 303 VL - 35 UR - conv_3143 ER -
@article{ author = "Stojanović, Milica", year = "2011", abstract = "Hyperbolic space groups are isometry groups, acting discontinuously on the hyperbolic 3-space with compact fundamental domain. One possibility to classify them is to look for fundamental domains of these groups. Here are considered supergroups for four series of groups with simplicial fundamental domains. Considered simplices, denoted in [9] by T19, T46, T59, belong to family F12, while T31 belongs to F27.", publisher = "Univerzitet u Kragujevcu - Prirodno-matematički fakultet, Kragujevac", journal = "Kragujevac Journal of Mathematics", title = "Four series of hyperbolic space groups with simplicial domains, and their supergroups", pages = "315-303", number = "2", volume = "35", url = "conv_3143" }
Stojanović, M.. (2011). Four series of hyperbolic space groups with simplicial domains, and their supergroups. in Kragujevac Journal of Mathematics Univerzitet u Kragujevcu - Prirodno-matematički fakultet, Kragujevac., 35(2), 303-315. conv_3143
Stojanović M. Four series of hyperbolic space groups with simplicial domains, and their supergroups. in Kragujevac Journal of Mathematics. 2011;35(2):303-315. conv_3143 .
Stojanović, Milica, "Four series of hyperbolic space groups with simplicial domains, and their supergroups" in Kragujevac Journal of Mathematics, 35, no. 2 (2011):303-315, conv_3143 .