Cones and ping-pong in three dimensions

被引：0

作者：

Frieden, Gabriel ^{[1
]}

Gelinas, Felix ^{[1
]}

Soucy, Etienne ^{[1
]}

机构：

[1] Univ Quebec Montreal, Montreal, PQ, Canada

来源：

INVOLVE, A JOURNAL OF MATHEMATICS | 2024年 / 17卷 / 01期

基金：

加拿大自然科学与工程研究理事会;

关键词：

hypergeometric group; free product of groups; ping-pong lemma; MONODROMY;

D O I：

10.2140/involve.2024.17.11

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study the hypergeometric group in GL(3) (C) with parameters alpha = (1/4, 1/2, 3/4) and beta = (0, 0, 0). We give a new proof that this group is isomorphic to the free product Z/4Z * Z/2Z by exhibiting a ping-pong table. Our table is determined by a simplicial cone in R-3, and we prove that this is the unique simplicial cone (up to sign) for which our construction produces a valid ping-pong table.

引用

页码：11 / 28

页数：22

共 15 条

[1]

[Anonymous], 2021, SAGEMATH SAGE MATH S

[2] MONODROMY FOR THE HYPERGEOMETRIC FUNCTION NFN-1 [J].