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pro vyhledávání: '"MAJ, MERCEDE"'
The structure of automorphism groups of $\kappa$-existentially closed groups are studied by Kaya-Kuzucuo\u{g}lu in 2022. It was proved that Aut(G) is the union of subgroups of level preserving automorphisms and $|Aut(G)|=2^\kappa$ whenever $\kappa$ i
Externí odkaz:
http://arxiv.org/abs/2409.00545
Autor:
Hadjievangelou, Anastasia, Longobardi, Patrizia, Maj, Mercede, Monetta, Carmine, O'Brien, E. A., Traustason, Gunnar
We survey left 3-Engel elements in groups.
Externí odkaz:
http://arxiv.org/abs/2306.06592
Let $G$ be a group. Write $G^{*}=G\setminus \{1\}$. An element $x$ of $G^{*}$ will be called deficient if $ \langle x\rangle < C_G(x)$ and it will be called non-deficient if $\langle x\rangle = C_G(x).$ If $x\in G$ is deficient (non-deficient), then
Externí odkaz:
http://arxiv.org/abs/2303.11027
In this paper we shall deal with periodic groups, in which each element has a prime power order. A group $G$ will be called a $BCP$-group if each element of $G$ has a prime power order and for each $p\in \pi(G)$ there exists a positive integer $u_p$
Externí odkaz:
http://arxiv.org/abs/2205.07248
Publikováno v:
In Journal of Algebra
Publikováno v:
In Journal of Algebra 1 January 2024 637:112-131
Following J.S. Rose, a subgroup H of a group G is said contranormal in G if G = H^G . In a certain sense, contranormal subgroups are antipodes to subnormal subgroups. It is well known that a finite group is nilpotent if and only if it has no proper c
Externí odkaz:
http://arxiv.org/abs/2006.02345
Denote by $G$ a finite group and by $\psi(G)$ the sum of element orders in $G$. If $t$ is a positive integer, denote by $C_t$ the cyclic group of order $t$ and write $\psi(t)=\psi(C_t)$. In this paper we proved the following Theorem A: Let $G$ be a n
Externí odkaz:
http://arxiv.org/abs/1905.12291
Denote by $G$ a finite group and let $\psi(G)$ denote the sum of element orders in $G$. In 2009, H.Amiri, S.M.Jafarian Amiri and I.M.Isaacs proved that if $|G|=n$ and $G$ is non-cyclic, then $\psi(G)<\psi(C_n)$, where $C_n$ denotes the cyclic group o
Externí odkaz:
http://arxiv.org/abs/1901.09662
Publikováno v:
In Journal of Algebra 1 May 2022 597:1-23