Structure Theory of Totally Disconnected Locally Compact Groups via Graphs and Permutations

Author:

Möller Rögnvaldur G.

Abstract

AbstractWillis's structure theory of totally disconnected locally compact groups is investigated in the context of permutation actions. This leads to new interpretations of the basic concepts in the theory and also to new proofs of the fundamental theorems and to several new results. The treatment of Willis's theory is self-contained and full proofs are given of all the fundamental results.

Publisher

Canadian Mathematical Society

Subject

General Mathematics

Cited by 24 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. An Introduction to Totally Disconnected Locally Compact Groups and Their Finiteness Conditions;Modern Trends in Algebra and Representation Theory;2023-08-17

2. Peter Michael Neumann, 1940–2020;Bulletin of the London Mathematical Society;2022-07-06

3. CAYLEY–ABELS GRAPHS AND INVARIANTS OF TOTALLY DISCONNECTED, LOCALLY COMPACT GROUPS;Journal of the Australian Mathematical Society;2022-04-13

4. Subgroups, hyperbolicity and cohomological dimension for totally disconnected locally compact groups;Journal of Topology and Analysis;2021-03-13

5. A graph-theoretic description of scale-multiplicative semigroups of automorphisms;Israel Journal of Mathematics;2020-05-14

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