Results 11 to 20 of about 254,436 (287)
A probabilistic version of a theorem of lászló kovács and hyo-seob sim [PDF]
International Journal of Group Theory, 2020 For a finite group group, denote by $\mathcal V(G)$ the smallest positive integer $k$ with the property that the probability of generating $G$ by $k$ randomly chosen elements is at least $1/e.$ Let $G$ be a finite soluble group.
Andrea Lucchini, Mariapia Moscatiello
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On infinite anticommutative groups [PDF]
International Journal of Group Theory, 2023 We completely describe the structure of locally (soluble-by-finite) groups in which all abelian subgroups are locally cyclic. Moreover, we prove that Engel groups with the above property are locally nilpotent.
Costantino Delizia, Chiara Nicotera
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Maximal subgroups of finite soluble groups in general position [PDF]
Annali di Matematica Pura ed Applicata, 2015 For a finite group G we investigate the difference between the maximum size $${{\mathrm{MaxDim}}}(G)$$MaxDim(G) of an “independent” family of maximal subgroups of G and maximum size m(G) of an irredundant sequence of generators of G.
E. Detomi, A. Lucchini
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Influence of complemented subgroups on the structure of finite groups [PDF]
International Journal of Group Theory, 2021 P. Hall proved that a finite group $G$ is supersoluble with elementary abelian Sylow subgroups if and only if every subgroup of $G$ is complemented in $G$. He called such groups complemented. A. Ballester-Bolinches and X.
Izabela Malinowska
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A characterization of soluble groups in which normality is a transitive relation [PDF]
International Journal of Group Theory, 2017 A subgroup $X$ of a group $G$ is said to be an H-subgroup if NG(X) ∩ Xg ≤ X for each element $g$ belonging to $G$. In [M. Bianchi and e.a., On finite soluble groups in which normality is a transitive relation, J.
Giovanni Vincenzi
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Products of Finite Connected Subgroups
Mathematics, 2020 For a non-empty class of groups L, a finite group G=AB is said to be an L-connected product of the subgroups A and B if 〈a,b〉∈L for all a∈A and b∈B. In a previous paper, we prove that, for such a product, when L=S is the class of finite soluble groups ...
María Pilar Gállego +4 more
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On Groups with Extreme Centralizers and Normalizers [PDF]
Advances in Group Theory and Applications, 2016 An FCI-group is a group in which every non-normal cyclic subgroup has finite index in its centralizer and an FNI-group is one in which every non-normal subgroup has finite index in its normalizer.
Derek J.S. Robinson
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Structure of finite groups with some weakly $S$-semipermutable subgroups [PDF]
Journal of Mahani Mathematical Research, 2023 Let $ G $ be a finite group. If $ A\leq G $, recall that $ A $ is weakly $S$-semipermutable in $G$ provided there is $K\unlhd G$ such that $KA$ is $S$-permutable in $G$, and $K\cap A$ is $S$-semipermutable in $G$.
Hassan Jafarian Dehkordi +2 more
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Some Different Results on MS-Groups and MSN-Groups [PDF]
Advances in Group Theory and Applications, 2017 Let $P$ and $Q$ be different normal Sylow subgroups of the finite group $G$. If $G/P$ and $G/Q$ are soluble $PST$-groups (respectively $BT$-groups), then $G$ is also a soluble $PST$-group (respectively $BT$-group).
James C. Beidleman
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On the structure of groups admitting faithful modules with certain conditions of primitivity
Researches in Mathematics, 2023 In the paper we study structure of soluble-by-finite groups of finite torsion-free rank which admit faithful modules with conditions of primitivity. In particular, we prove that under some additional conditions if an infinite finitely generated linear ...
A.V. Tushev
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