A New Class of Generalized Thompson's Groups and Their Normal Subgroups |
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| Authors: | Slobodan Tanushevski |
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| Affiliation: | 1. Instituto de Matemática, Universidade Federal do Rio de Janeiro, Rio de Janeiro, RJ, Braziltanusevski1@gmail.com |
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| Abstract: | For a given group G and a homomorphism ?: G → G × G, we construct groups ??(G), 𝒯?(G), and 𝒱?(G) that blend Thompson's groups F, T, and V with G, respectively. Furthermore, we describe the lattice of normal subgroups of the groups ?Δ(G), where Δ: G → G × G is the diagonal homomorphism, Δ(g) = (g, g). |
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| Keywords: | Generalized Thompson's groups Thompson's groups |
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