Results 11 to 20 of about 5,724 (262)
A note on the solvability of groups
Journal of Algebra, 2006 8 ...
Li, Shiheng, Shi, Wujie
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Equation Satisfiability in Solvable Groups
Theory of Computing Systems, 2022 AbstractThe study of the complexity of the equation satisfiability problem in finite groups had been initiated by Goldmann and Russell in (Inf. Comput. 178(1), 253–262, 2002) where they showed that this problem is in for nilpotent groups while it is -complete for non-solvable groups.
Pawel M. Idziak +3 more
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Exponential and weakly exponential subgroups of finite groups [PDF]
International Journal of Group TheorySabatini [L. Sabatini, Products of subgroups, subnormality, and relative orders of elements, Ars Math. Contemp., 24 no. 1 (2024) 9 pp.] defined a subgroup $H$ of $G$ to be an exponential subgroup if $x^{|G:H|} \in H$ for all $x \in G$, in which case we ...
Eric Swartz, Nicholas J. Werner
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Finite non-solvable groups with few 2-parts of co-degrees of irreducible characters [PDF]
AUT Journal of Mathematics and Computing, 2023 For a character $ \chi $ of a finite group $ G $, the number $ \chi^c(1)=\frac{[G:{\rm ker}\chi]}{\chi(1)} $ is called the co-degree of $ \chi $. Let ${\rm Sol}(G)$ denote the solvable radical of $G$.
Neda Ahanjideh
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Topological loops with solvable multiplication groups of dimension at most six are centrally nilpotent [PDF]
International Journal of Group Theory, 2020 The main result of our consideration is the proof of the centrally nilpotency of class two property for connected topological proper loops $L$ of dimension $\le 3$ which have an at most six-dimensional solvable indecomposable Lie group as their ...
Agota Figula, Ameer Al-Abayechi
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Prime power Sylow numbers [PDF]
Journal of Mahani Mathematical ResearchIn this paper, we study finite groups with a prime-power number of Sylow \(p\)-subgroups. Motivated by the work of Yang et al.~(2022), who characterized non-solvable groups with a prime-power number of Sylow $2$-subgroups, we investigate the ...
Alireza Khalili Asboei
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Finite groups with 4p2q elements of maximal order
Open Mathematics, 2021 It is an interesting and difficult topic to determine the structure of a finite group by the number of elements of maximal order. This topic is related to Thompson’s conjecture, that is, if two finite groups have the same order type and one of them is ...
Tan Sanbiao, Chen Guiyun, Yan Yanxiong
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Minimal irreducible solvable subgroups of the group GL(q,{Z}_{p})
Науковий вісник Ужгородського університету. Серія: Математика і інформатика, 2018 All minimal irreducible solvable subgroups of the group GL(q,{Z}_{p}) (q is a prime, {Z}_{p} is the ring of rational $p$-adic integers) are described up to conjugation for p ...
О. А. Кирилюк
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On homogeneous spaces with finite anti-solvable stabilizers
Comptes Rendus. Mathématique, 2022 We say that a group is anti-solvable if all of its composition factors are non-abelian. We consider a particular family of anti-solvable finite groups containing the simple alternating groups for $n\ne 6$ and all 26 sporadic simple groups. We prove that,
Lucchini Arteche, Giancarlo
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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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