Výsledky vyhledávání - "Marta Morigi"

Akademický článek

Autor: Eloisa Detomi, Marta Morigi

Publikováno v: International Journal of Group Theory, Vol 9, Iss 4, Pp 223-229 (2020)

Let $\gamma_n=[x_1,\ldots,x_n]$ be the $n$th lower central word‎. ‎Suppose that $G$ is a profinite group‎ ‎where the conjugacy classes $x^{\gamma_n(G)}$ contains less than $2^{\aleph_0}$‎ ‎elements‎ ‎for any $x \in G$‎. ‎We prove

Externí odkaz: https://doaj.org/article/e75da3145c394a0eb346e05f0644740f

Zobrazit plný text záznamu

Akademický článek

Invariable generation of groups of finite rank

Autor: Eloisa Detomi, Andrea Lucchini, Marta Morigi

Publikováno v: Advances in Group Theory and Applications, Vol 6, Pp 69-87 (2018)

We prove that the minimal cardinality of an invariable generating set for a finite group G can be bounded in terms of the rank of G and we discuss some related questions.

Externí odkaz: https://doaj.org/article/a6be2de804074d34a94771d40667dfe2

Zobrazit plný text záznamu

Akademický článek

Words of Engel type are concise in residually finite groups

Autor: Eloisa Detomi, Marta Morigi, Pavel Shumyatsky

Publikováno v: Bulletin of Mathematical Sciences, Vol 9, Iss 2, Pp 1950012-1-1950012-19 (2019)

Given a group-word w and a group G, the verbal subgroup w(G) is the one generated by all w-values in G. The word w is said to be concise if w(G) is finite whenever the set of w-values in G is finite. In 1960s, Hall asked whether every word is concise

Externí odkaz: https://doaj.org/article/82cacb0c7b6644f7946241ca7ad033d8

Zobrazit plný text záznamu

On the rank of a verbal subgroup of a finite group

Autor: Marta Morigi, Eloisa Detomi, Pavel Shumyatsky

We show that if $w$ is a multilinear commutator word and $G$ a finite group in which every metanilpotent subgroup generated by $w$-values is of rank at most $r$, then the rank of the verbal subgroup $w(G)$ is bounded in terms of $r$ and $w$ only. In

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::8195a54cbf45faaaa1c233710c1b186b
https://hdl.handle.net/11577/3445783

Zobrazit plný text záznamu

Centralizers of commutators in finite groups

Autor: Eloisa Detomi, Marta Morigi, Pavel Shumyatsky

Let G be a finite group. A coprime commutator in G is any element that can be written as a commutator [x, y] for suitable x, y is an element of G such that pi(x) & cap; pi(y) = theta. Here pi(g) denotes the set of prime divisors of the order of the e

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::709541f44d616f5e524a7fbda8d6533c
https://hdl.handle.net/11577/3467905

Zobrazit plný text záznamu

Vyhledávací nástroje:

Upřesnit hledání