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arxiv: 1811.12154 · v2 · pith:F3OTRJVMnew · submitted 2018-11-29 · 🧮 math.GR · math.RA

On groups with unbounded Cayley graphs

classification 🧮 math.GR math.RA
keywords cayleyeverygroupinfinitenon-trivialadmitsassociatedcompact
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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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