On groups with unbounded Cayley graphs
[摘要] We show that every non-trivial compact connected group and every non-trivial general or special linear group over an infinite field admits a generating set such that the associated Cayley graph has infinite diameter. (C) 2020 Published by Elsevier Inc.
[发布日期] 2020-12-15 [发布机构]
[效力级别] [学科分类]
[关键词] Compact connected group;Special linear group;General linear group;Cayley graph;Diameter;Bergman property [时效性]