Higher dimensional generalizations of the Thompson groups via higher rank graphs
نویسندگان
چکیده
We construct a family of groups from suitable higher rank graphs which are dimensional generalizations the Thompson groups. introduce group invariants, inspired by K-theory C⁎-algebras, and show that many our not isomorphic to Brin-Thompson nV, when n≥2.
منابع مشابه
Higher dimensional Thompson groups
Three groups F ⊆ T ⊆ V , known as Thompson groups, have generated interest since R. J. Thompson introduced them in the late 1960s. Part of their initial interest was the fact that T and V supplied the first known examples of infinite, simple, finitely presented groups. Since then, other properties of the groups have been studied as well as their interaction with other areas of mathematics. The ...
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ژورنال
عنوان ژورنال: Journal of Pure and Applied Algebra
سال: 2024
ISSN: ['1873-1376', '0022-4049']
DOI: https://doi.org/10.1016/j.jpaa.2023.107456