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群的图积的同构与自同构

Isomorphisms and automorphisms of graph products of groups

Amandine Escalier, Camille Horbez

arXiv 2607.22303首次发表:更新:

AI 中文总结

研究群的图积的同构问题,通过给出其自同构群的生成集来解决,此生成集推广了直角阿廷群的相关成果。

AI 中文摘要

我们解决了群的图积的同构问题。给出了群的图积的自同构群的生成集,推广了Laurence和Servatius为直角阿廷群给出的生成集。

英文摘要

We solve the isomorphism problem for graph products of groups. We give a generating set for the automorphism group of a graph product of groups, generalizing the one given by Laurence and Servatius for right-angled Artin groups.

Comments48 pages. The document is written in Atkinson hyperlegible font. It can be easily changed to Computer Modern or OpenSans by downloading the sources and commenting/uncommenting the lines as indicated in Headers_aut.tex [V2 : Some typo and a lemma corrected.]

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