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pro vyhledávání: '"Bodart A"'
In this paper, the Identity Problem for certain groups, which asks if the subsemigroup generated by a given finite set of elements contains the identity element, is related to problems regarding ordered groups. Notably, the Identity Problem for a tor
Externí odkaz:
http://arxiv.org/abs/2411.15639
Autor:
Bodart, Corentin
We provide an example of a virtually $2$-step nilpotent group, and a specific generating set, for which the Green series (sometimes called cogrowth series) is not D-finite. The proof relies on an arithmetical miracle, and the study of the subword com
Externí odkaz:
http://arxiv.org/abs/2409.13395
Autor:
JOUBERT, SOPHIE (AUTHOR)
Publikováno v:
France-Amérique. Apr2023, Vol. 16 Issue 4, p78-83. 6p. 6 Color Photographs.
Autor:
Bodart, Corentin, Osin, Denis
We provide examples of groups with transcendental spectral radius. The proofs relies on links between decidability of the Word Problem and semi-computability of the spectral radius, and on classical small-cancellation theory.
Comment: Primary ar
Comment: Primary ar
Externí odkaz:
http://arxiv.org/abs/2404.17840
Autor:
Bodart, Corentin, Dong, Ruiwen
The Tits alternative states that a finitely generated matrix group either contains a nonabelian free subgroup $F_2$, or it is virtually solvable. This paper considers two decision problems in virtually solvable matrix groups: the Identity Problem (do
Externí odkaz:
http://arxiv.org/abs/2404.02264
Autor:
Bodart, Corentin, Tashiro, Kenshiro
We study the horofunction boundary of finitely generated nilpotent groups, and the natural group action on it. More specifically, we prove the followings results: For discrete Heisenberg groups, we classify the orbits of Busemann points. As a byprodu
Externí odkaz:
http://arxiv.org/abs/2407.11943
Autor:
Bodart, Corentin
We study both the Submonoid Membership problem and the Rational Subset Membership problem in finitely generated nilpotent groups. We give two reductions with important applications. First, Submonoid Membership in any nilpotent group can be reduced to
Externí odkaz:
http://arxiv.org/abs/2401.15504
Autor:
Hanks, Patrick, Lenarčič, Simon
Publikováno v:
Dictionary of American Family Names, 2 ed., 2022.
Externí odkaz:
http://www.oxfordreference.com/view/10.1093/acref/9780190245115.001.0001/acref-9780190245115-e-7462
Autor:
Bodart, Corentin
We give a criterion on pairs $(G,S)$ - where $G$ is a virtually $s$-step nilpotent group and $S$ is a finite generating set - saying whether the geodesic growth is exponential or strictly sub-exponential. Whenever $s=1,2$, this goes further and we pr
Externí odkaz:
http://arxiv.org/abs/2306.10381
Autor:
Cristiano das Neves Bodart
Publikováno v:
Pro-Posições, Vol 35 (2024)
Resumo Este artigo apresenta uma análise de redes de colaboração autoral entre pesquisadores do Ensino de Sociologia, com o objetivo de examinar os aspectos constituintes do subcampo de pesquisa. Utilizando o método de produção e análise de re
Externí odkaz:
https://doaj.org/article/9356be153bee42738242edb8fe6c5c65