Results 1 to 10 of about 14,687,142 (174)
Boundedly finite conjugacy classes of tensors [PDF]
International Journal of Group Theory, 2021 Let $n$ be a positive integer and let $G$ be a group. We denote by $\nu(G)$ a certain extension of the non-abelian tensor square $G \otimes G$ by $G \times G$. Set $T_{\otimes}(G) = \{g \otimes h \mid g,h \in G\}$.
Raimundo Bastos, Carmine Monetta
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On a result of nilpotent subgroups of solvable groups [PDF]
International Journal of Group Theory, 2022 Heineken [H. Heineken, Nilpotent subgroups of finite soluble groups, Arch. Math.(Basel), 56 no. 5 (1991) 417--423.] studied the order of the nilpotent subgroups of the largest order of a solvable group.
Yong Yang
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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 the probability of zero divisor elements in group rings [PDF]
International Journal of Group Theory, 2022 Let $R$ be a non trivial finite commutative ring with identity and $G$ be a non trivial group. We denote by $P(RG)$ the probability that the product of two randomly chosen elements of a finite group ring $RG$ is zero. We show that $P(RG)
Haval Mohammed Salih
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Some results on the join graph of finite groups [PDF]
International Journal of Group Theory, 2021 Let $G$ be a finite group which is not cyclic of prime power order. The join graph $\Delta(G)$ of $G$ is a graph whose vertex set is the set of all proper subgroups of $G$, which are not contained in the Frattini subgroup $G$ and two distinct ...
Zahara Bahrami, Bijan Taeri
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The minimum sum of element orders of finite groups [PDF]
International Journal of Group Theory, 2021 Let $ G $ be a finite group and \( \psi(G)=\sum_{g\in G}o(g) \), where $ o(g) $ denotes the order of $g\in G$. We show that the Conjecture 4.6.5 posed in [Group Theory and Computation, (2018) 59-90], is incorrect.
Maghsoud Jahani +3 more
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A presentation for the subgroup of compressed conjugating automorphisms of a partially commutative group [PDF]
International Journal of Group Theory, 2019 Let $G_{Gamma}$ be a partially commutative group. We find a finite presentation for the subgroup $Conjv(G_{Gamma})$ of compressed vertex conjugating automorphisms of the automorphism group $Aut(G_{Gamma})$ of $G_{G}$.
Abdulsatar AL-Juburie, Andrew Duncan
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On almost recognizability by spectrum of simple classical groups [PDF]
International Journal of Group Theory, 2017 The set of element orders of a finite group $G$ is called the {em spectrum}. Groups with coinciding spectra are said to be {em isospectral}. It is known that if $G$ has a nontrivial normal soluble subgroup then there exist infinitely many pairwise ...
Alexey Staroletov
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The number of maximal subgroups and probabilistic generation of finite groups [PDF]
International Journal of Group Theory, 2020 In this survey we present some significant bounds for the number of maximal subgroups of a given index of a finite group. As a consequence, new bounds for the number of random generators needed to generate a finite $d$-generated group with high
Adolfo Ballester Bolinches +3 more
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An extension and a generalization of Dedekind's theorem [PDF]
International Journal of Group Theory, 2017 For any given finite abelian group, we give factorizations of the group determinant in the group algebra of any subgroups. The factorizations is an extension of Dedekind's theorem. The extension leads to a generalization of Dedekind's theorem.
Naoya Yamaguchi
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