Results 1 to 10 of about 157,688 (264)
On maximal subformations of n-multiple Ω-foliated formations of finite groups [PDF]
Известия Саратовского университета. Новая серия: Математика. Механика. Информатика, 2021 Only finite groups are considered in the article. Among the classes of groups the central place is occupied by classes closed regarding homomorphic images and subdirect products which are called formations.
Sorokina, Marina M. +1 more
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The clique number of the intersection graph of a cyclic group of order with at most three prime factors [PDF]
ریاضی و جامعه, 2023 Let $G$ be a finite non-trivial group. The intersection graph $\Gamma(G)$, is a graph whose vertices are all proper non-trivial subgroups of $G$, and there is an edge between two distinct vertices $H $ and $K$ if and only if $H\cap K\neq 1$.
Seyyed Majid Jafarian Amiri +1 more
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Irreducible Characters with Cyclic Anchor Group
Axioms, 2023 We consider G to be a finite group and p as a prime number. We fix ψ to be an irreducible character of G with its restriction to all p-regular elements of G and ψ0 to be an irreducible Brauer character.
Manal H. Algreagri, Ahmad M. Alghamdi
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Bases in finite groups of small order
Karpatsʹkì Matematičnì Publìkacìï, 2021 A subset $B$ of a group $G$ is called a basis of $G$ if each element $g\in G$ can be written as $g=ab$ for some elements $a,b\in B$. The smallest cardinality $|B|$ of a basis $B\subseteq G$ is called the basis size of $G$ and is denoted by $r[G]$.
T.O. Banakh, V.M. Gavrylkiv
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Extensions of Finite Quantum Groups by Finite Groups [PDF]
Transformation Groups, 2008 We give a necessary and sufficient condition for two Hopf algebras presented as central extensions to be isomorphic, in a suitable setting. We then study the question of isomorphism between the Hopf algebras constructed in 0707.0070v1 as quantum subgroups of quantum groups at roots of 1.
Andruskiewitsch, N., García, G. A.
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Boolean Lattices of $n$-multiply $\omega\sigma$-fibered Fitting Classes
Известия Иркутского государственного университета: Серия "Математика", 2022 Let N be the set of all natural numbers. Consider all definitions and results taking into account the partitioning of the area for determining satellites and directions.
O.V. Kamozina
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On sublattices of the lattice of all ω-composition formations of finite groups [PDF]
Advances in Group Theory and Applications, 2018 It is proved that the lattice of all ω-local formations is a complete sublattice of the lattice of all ω-composition formations of finite groups.
Nikolay N. Vorob’ev
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Finite groups whose intersection power graphs are toroidal and projective-planar
Open Mathematics, 2021 The intersection power graph of a finite group GG is the graph whose vertex set is GG, and two distinct vertices xx and yy are adjacent if either one of xx and yy is the identity element of GG, or ⟨x⟩∩⟨y⟩\langle x\rangle \cap \langle y\rangle is non ...
Li Huani, Ma Xuanlong, Fu Ruiqin
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Bounds on the Number of Maximal Subgroups of Finite Groups: Applications
Mathematics, 2022 The determination of bounds for the number of maximal subgroups of a given index in a finite group is relevant to estimate the number of random elements needed to generate a group with a given probability.
Adolfo Ballester-Bolinches +2 more
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On the Norm of the Abelian p-Group-Residuals
Mathematics, 2021 Let G be a group. Dp(G)=⋂H≤GNG(H′(p)) is defined and, the properties of Dp(G) are investigated. It is proved that Dp(G)=P[A], where P=D(P) is the Sylow p-subgroup and A=N(A) is a Hall p′-subgroup of Dp(G), respectively.
Baojun Li, Yu Han, Lü Gong, Tong Jiang
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