Regular graphs and discrete subgroups of projective linear groupsRegular graphs and discrete subgroups of projective linear groups
- Other Titles
- Regular graphs and discrete subgroups of projective linear groups
- Authors
- 채희준
- Issue Date
- 2019
- Publisher
- 충청수학회
- Keywords
- regular graph; tree; discrete subgroup
- Citation
- 충청수학회지, v.32, no.1, pp.87 - 95
- Journal Title
- 충청수학회지
- Volume
- 32
- Number
- 1
- Start Page
- 87
- End Page
- 95
- URI
- https://scholarworks.bwise.kr/hongik/handle/2020.sw.hongik/2715
- DOI
- 10.14403/jcms.2019.32.1.8
- ISSN
- 1226-3524
- Abstract
- The homothety classes of lattices in a two dimensional vector space over a nonarchimedean local field form a regular tree $\T$ of degree $q+1$ on which the projective linear group acts naturally where $q$ is the order of the residue field. We show that for any finite regular combinatorial graph of even degree $q+1$, there exists a torsion free discrete subgroup $\Gamma$ of the projective linear group such that $\T/\Gamma$ is isomorphic to the graph.
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Collections - College of Education > Department of Mathematics Education > 1. Journal Articles
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