Computational Aspects of Totally Disconnected Locally Compact Groups

Michal Ferov (), Stephan Tornier () and George Willis ()
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Michal Ferov: The University of Newcastle, University Drive
Stephan Tornier: The University of Newcastle, University Drive
George Willis: The University of Newcastle, University Drive

A chapter in Handbook of Visual, Experimental and Computational Mathematics, 2026, pp 891-926 from Springer

Abstract: Abstract Totally disconnected, locally compact (t.d.l.c.) groups, which lie at the forefront of current research, form a class of topological groups. The topology means that computations can only be done approximately, although when the output is discrete an exact answer may be found. Computation is also important for exploration and for the cataloging of examples. We survey various approaches of how to compute with t.d.l.c. groups, what to compute about them, and why.

Keywords: Locally compact group; Totally disconnected; Groups acting on trees; Universal group; Tits’ independence property; Almost automorphism; Scale function; Self-replicating group; Algebraic group; GAP; MAGMA (search for similar items in EconPapers)
Date: 2026
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DOI: 10.1007/978-3-032-16368-4_13

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