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pro vyhledávání: '"Alex Evetts"'
Publikováno v:
Duncan, A, Evetts, A, Holt, D F & Rees, S 2023, ' Using EDT0L systems to solve some equations in the solvable Baumslag-Solitar groups ', Journal of Algebra, vol. 630, pp. 434-456 . https://doi.org/10.1016/j.jalgebra.2023.04.020
We investigate the solution sets to equations in the solvable Baumslag-Solitar groups $BS(1,k)$, $k\geq2$, and show that these sets are represented by EDT0L languages in some cases. In particular, we prove that the multiplication table of such a grou
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::6925536e97fb0c8186f70f6657b44829
https://doi.org/10.1016/j.jalgebra.2023.04.020
https://doi.org/10.1016/j.jalgebra.2023.04.020
Autor:
Alex Levine, Alex Evetts
Publikováno v:
International Journal of Algebra and Computation. 32:411-442
This paper explores the nature of the solution sets of systems of equations in virtually abelian groups. We view this question from two angles. From a formal language perspective, we prove that the set of solutions to a system of equations forms an E
Autor:
Alex Evetts
We calculate asymptotic estimates for the conjugacy growth function of finitely generated class 2 nilpotent groups whose derived subgroup is infinite cyclic, including the so-called higher Heisenberg groups. We prove that these asymptotics are stable
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::09f4f3c22b0a124ee16f024d50f86d17
http://arxiv.org/abs/2111.06443
http://arxiv.org/abs/2111.06443
Autor:
Alex Evetts
Publikováno v:
Illinois J. Math. 63, no. 4 (2019), 513-549
Evetts, A 2019, ' Rational growth in virtually abelian groups ', Illinois Journal of Mathematics, vol. 63, no. 4 . https://doi.org/10.1215/00192082-8011497
Evetts, A 2019, ' Rational growth in virtually abelian groups ', Illinois Journal of Mathematics, vol. 63, no. 4 . https://doi.org/10.1215/00192082-8011497
We show that any subgroup of a finitely generated virtually abelian group $G$ grows rationally relative to $G$, that the set of right cosets of any subgroup of $G$ grows rationally, and that the set of conjugacy classes of $G$ grows rationally. These
Publikováno v:
University of Manchester-PURE
Ciobanu, L, Evetts, A & Ho, M-C T 2020, ' The Conjugacy Growth of the Soluble Baumslag-Solitar Groups ', New York Journal of Mathematics, vol. 26, pp. 473-495 . < https://nyjm.albany.edu/j/2020/26-23.html >
Ciobanu, L, Evetts, A & Ho, M-C T 2020, ' The Conjugacy Growth of the Soluble Baumslag-Solitar Groups ', New York Journal of Mathematics, vol. 26, pp. 473-495 . < https://nyjm.albany.edu/j/2020/26-23.html >
In this paper we give asymptotics for the conjugacy growth of the soluble Baumslag-Solitar groups $BS(1,k)$, $k\geq 2$, with respect to the standard generating set, by providing a complete description of geodesic conjugacy representatives. We show th
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ca2227c75dfcf2cc0fdd27cf0fbef122
http://arxiv.org/abs/1908.05321
http://arxiv.org/abs/1908.05321