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pro vyhledávání: '"Mercede A"'
Autor:
Valentina Gasser, Amrita Singh-Morgan, Magdalena Lederbauer, Mercede Azizbaig Mohajer, Elise Komarczuk
Publikováno v:
CHIMIA, Vol 78, Iss 6 (2024)
For this CHIMIA special issue on the United Nations Sustainable Development Goals (SDGs) and the coincidental 10th anniversary of the association of Women in Natural Sciences (WiNS) at ETH Zurich, there is no better opportunity to share what we have
Externí odkaz:
https://doaj.org/article/1cdc83ea349f4e0d8d0e05dc9304e534
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 1 January 2024 637:112-131
Publikováno v:
International Journal of Group Theory, Vol 12, Iss 2, Pp 81-98 (2023)
In this survey we collect some results on the influence on the structure of a group of some families of its subgroups satisfying conditions related to normality. In particular we focus on groups whose subgroups have two antagonistic properties.
Externí odkaz:
https://doaj.org/article/7f2b1c7c5f1d4624b34e7aeca3f0f7a1
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
Publikováno v:
International Journal of Group Theory, Vol 12, Iss 1, Pp 35-44 (2023)
In this survey we shall describe some recent criteria for solvability, nilpotency and other properties of finite groups $G$, based either on the orders of the elements of $G$ or on the orders of the subgroups of $G$.
Externí odkaz:
https://doaj.org/article/322fd91f99a54d0c8d71263067b4ed71
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