Hyperbolic space groups with truncated simplices as fundamental domains | Zendy

Milica Stojanović | Zendy

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Hyperbolic space groups with truncated simplices as fundamental domains

Author(s) -

Milica Stojanović

Publication year - 2019

Publication title -

filomat

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.449

H-Index - 34

eISSN - 2406-0933

pISSN - 0354-5180

DOI - 10.2298/fil1904107s

Subject(s) - mathematics , series (stratigraphy) , group (periodic table) , simplex , space (punctuation) , order (exchange) , pure mathematics , combinatorics , algebra over a field , paleontology , computer science , chemistry , organic chemistry , finance , economics , biology , operating system

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.

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