Groups with infinite linearly ordered products

Fuente: arXiv
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Main Author: Bagayoko, Vincent
Format: Preprint
Published: 2024
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author Bagayoko, Vincent
author_facet Bagayoko, Vincent
contents We introduce a formalism of infinite, linearly ordered products in general groups. Using this, we define infinite compositions in certain groups of formal power series such as transseries. We show that such groups can sometimes be represented as infinite, linearly ordered, semidirect products of ordered Abelian groups.
format Preprint
id arxiv_https___arxiv_org_abs_2403_07368
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Groups with infinite linearly ordered products
Bagayoko, Vincent
Group Theory
Logic
We introduce a formalism of infinite, linearly ordered products in general groups. Using this, we define infinite compositions in certain groups of formal power series such as transseries. We show that such groups can sometimes be represented as infinite, linearly ordered, semidirect products of ordered Abelian groups.
title Groups with infinite linearly ordered products
topic Group Theory
Logic
url https://arxiv.org/abs/2403.07368