Hyperbolic Space Groups with Truncated Simplices as Fundamental Domains
Apstrakt
In previous papers there are given numerous cases of groups with truncated simplices as fundamental domains. These groups will be reconsidered here, in order to finish the classification of the supergroups for 44 group series with trunc-simplex domains. There are given 7 new series of groups here, belonging to different families. We also consider 12 new cases of groups of 20 series from families F13 - F32, called maximal series. These results complete the investigation of groups with fundamental trunc-simplices.
Ključne reči:
truncated simplex / Poincare algorithm / isometries / hyperbolic space group / fundamental domainIzvor:
Filomat, 2019, 33, 4, 1107-1116Izdavač:
- Univerzitet u Nišu - Prirodno-matematički fakultet - Departmant za matematiku i informatiku, Niš
DOI: 10.2298/FIL1904107S
ISSN: 0354-5180
WoS: 000496191800013
Scopus: 2-s2.0-85078231207
Institucija/grupa
Fakultet organizacionih naukaTY - CONF AU - Stojanović, Milica PY - 2019 UR - https://rfos.fon.bg.ac.rs/handle/123456789/1887 AB - In previous papers there are given numerous cases of groups with truncated simplices as fundamental domains. These groups will be reconsidered here, in order to finish the classification of the supergroups for 44 group series with trunc-simplex domains. There are given 7 new series of groups here, belonging to different families. We also consider 12 new cases of groups of 20 series from families F13 - F32, called maximal series. These results complete the investigation of groups with fundamental trunc-simplices. PB - Univerzitet u Nišu - Prirodno-matematički fakultet - Departmant za matematiku i informatiku, Niš C3 - Filomat T1 - Hyperbolic Space Groups with Truncated Simplices as Fundamental Domains EP - 1116 IS - 4 SP - 1107 VL - 33 DO - 10.2298/FIL1904107S UR - conv_2078 ER -
@conference{ author = "Stojanović, Milica", year = "2019", abstract = "In previous papers there are given numerous cases of groups with truncated simplices as fundamental domains. These groups will be reconsidered here, in order to finish the classification of the supergroups for 44 group series with trunc-simplex domains. There are given 7 new series of groups here, belonging to different families. We also consider 12 new cases of groups of 20 series from families F13 - F32, called maximal series. These results complete the investigation of groups with fundamental trunc-simplices.", publisher = "Univerzitet u Nišu - Prirodno-matematički fakultet - Departmant za matematiku i informatiku, Niš", journal = "Filomat", title = "Hyperbolic Space Groups with Truncated Simplices as Fundamental Domains", pages = "1116-1107", number = "4", volume = "33", doi = "10.2298/FIL1904107S", url = "conv_2078" }
Stojanović, M.. (2019). Hyperbolic Space Groups with Truncated Simplices as Fundamental Domains. in Filomat Univerzitet u Nišu - Prirodno-matematički fakultet - Departmant za matematiku i informatiku, Niš., 33(4), 1107-1116. https://doi.org/10.2298/FIL1904107S conv_2078
Stojanović M. Hyperbolic Space Groups with Truncated Simplices as Fundamental Domains. in Filomat. 2019;33(4):1107-1116. doi:10.2298/FIL1904107S conv_2078 .
Stojanović, Milica, "Hyperbolic Space Groups with Truncated Simplices as Fundamental Domains" in Filomat, 33, no. 4 (2019):1107-1116, https://doi.org/10.2298/FIL1904107S ., conv_2078 .