Results 11 to 20 of about 116,152 (330)
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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Factorizations of finite groups by conjugate subgroups which are solvable or nilpotent [PDF]
, 2015 We consider factorizations of a finite group $G$ into conjugate subgroups, $G=A^{x_{1}}\cdots A^{x_{k}}$ for $A\leq G$ and $x_{1},\ldots ,x_{k}\in G$, where $A$ is nilpotent or solvable.
Garonzi, Martino +3 more
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The codegrees of real-valued Irreducible characters of finite groups [PDF]
ریاضی و جامعه, 2023 In this note we show that if every codegree of real-valued irreducible characters of a finite group $G$ is either a $2$-number or $2'$-number, then $G$ is ...
Zeynab Akhlaghi
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Strongly solvable spherical subgroups and their combinatorial invariants [PDF]
, 2015 A subgroup H of an algebraic group G is said to be strongly solvable if H is contained in a Borel subgroup of G. This paper is devoted to establishing relationships between the following three combinatorial classifications of strongly solvable spherical ...
Avdeev, Roman
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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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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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, 2013 Let $G$ be a finite group and $H$ a core-free subgroup of $G$. We will show that if there exists a solvable, generating transversal of $H$ in $G$, then $G$ is a solvable group. Further, if $S$ is a generating transversal of $H$ in $G$ and $S$ has order 2
Jain, Vivek Kumar
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A note on p-solvable and solvable finite groups
International Journal of Mathematics and Mathematical Sciences, 1994 The notion of normal index is utilized in proving necessary and sufficient conditions for a group G to be respectively, p-solvable and solvable where p is the largest prime divisor of |G|.
R. Khazal, N. P. Mukherjee
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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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