Fundamental domains for congruence subgroups of SL2 in positive characteristic

被引：4

作者：

Carbone, Lisa ^{[2
]}

Cobbs, Leigh ^{[2
]}

Murray, Scott H. ^{[1
]}

机构：

[1] Univ Canberra, Fac Informat Sci & Engn, Discipline Math & Stat, Canberra, ACT 2601, Australia

[2] Rutgers State Univ, Dept Math, Hill Ctr, Piscataway, NJ 08854 USA

来源：

JOURNAL OF ALGEBRA | 2011年 / 325卷 / 01期

基金：

美国国家科学基金会;

关键词：

Groups acting on trees; Bruhat-Tits tree; Fundamental domain; Special linear group;

D O I：

10.1016/j.jalgebra.2010.08.028

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this work, we construct fundamental domains for congruence subgroups of SL2(F-q[t]) and PGL(2)(F-q[t]). Our method uses Gekeler's description of the fundamental domains on the Bruhat-Tits tree X = Xq+1 in terms of cosets of subgroups. We compute the fundamental domains for a number of congruence subgroups explicitly as graphs of groups using the computer algebra system Magma. (C) 2010 Elsevier Inc. All rights reserved.

引用

页码：431 / 439

页数：9

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