커버이미지 없음
KCI등재
학술저널
REGULAR GRAPHS AND DISCRETE SUBGROUPS OF PROJECTIVE LINEAR GROUPS
- 충청수학회
- Journal of the Chungcheong Mathematical Society
- Volume 32, No. 1
- : KCI등재
- 2019.02
- 87 - 95 (9 pages)
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 Γ of the projective linear group such that T /Γ is isomorphic to the graph.
1. Introduction
2. Graphs
3. Groups acting on trees
4. Tree of lattices
5. Discrete subgroups of projective linear groups
6. Regular graphs as quotients of T
7. Example