Work

Groups with infinite linearly ordered products

Year: 2024

Type: preprint

Abstract: 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.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2403.07368

Author: Bagayoko, Vincent

Institution: Institut de Mathématiques de Jussieu-Paris Rive Gauche

Language: English

Topic: Mathematical and Theoretical Analysis

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W4392780910

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