On groups with unbounded Cayley graphs

2018/11/29 by Schneider, Jakob · 1 citation
#FOS: Mathematics #Group Theory (math.GR) #Rings and Algebras (math.RA)

paper · doi:10.48550/arxiv.1811.12154

Abstract

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.

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