Results 11 to 20 of about 798,154 (283)

Congruence on a strong semilattice of π-groups

open access: yes上海师范大学学报. 自然科学版, 2022
It is well known that a semigroup is a Clifford semigroup, if and only if it is a strong semilattice of groups, and the class of π-groups is the generalization of groups in the range of π-regular semigroups.
DAI Luyao, ZHANG Jiangang, SHEN Ran
doaj   +1 more source

Normality in Uncountable Groups [PDF]

open access: yesAdvances in Group Theory and Applications, 2017
The main purpose of this paper is to describe the structure of uncountable groups of cardinality $\aleph$ in which all subgroups of cardinality $\aleph$ are normal.
Maria De Falco   +3 more
doaj   +1 more source

A new approach to fuzzy group theory using (𝛼, 𝛽) -Pythagorean fuzzy sets [PDF]

open access: yesSongklanakarin Journal of Science and Technology (SJST), 2021
A Pythagorean fuzzy set (PFS) is a very efficient and powerful tool for handling uncertainty and vagueness. In this paper, we present the notion of (𝛼, 𝛽) -Pythagorean fuzzy set (PFS) as a generalisation of Pythagorean fuzzy set (PFS). We propose a new
Supriya Bhunia, Ganesh Ghorai
doaj   +1 more source

Normal Subgroups Contained in the Frattini Subgroup [PDF]

open access: yesProceedings of the American Mathematical Society, 1972
Let H be a normal subgroup of the finite group G. If H has a subgroup K which is normal in G, satisfies | K | > | K ∩ Z 1 ( H ) | = p |K| &
Hill, W. Mack, Wright, Charles R. B.
openaire   +1 more source

Some Notes on Relative Commutators

open access: yesInPrime, 2020
Let G be a group and α ϵ Aut(G).  An α-commutator of elements x, y ϵ G is defined as [x, y]α = x-1y-1xyα. In 2015, Barzegar et al. introduced an α-commutator of elements of G and defined a new generalization of nilpotent groups by using the definition of
Masoumeh Ganjali, Ahmad Erfanian
doaj   +1 more source

Anti-Homomorphism in Q-Fuzzy Subgroups and Normal Subgroups

open access: yesRatio Mathematica, 2023
Many researchers have explored the fuzzy set extensively. We propose the notion of anti-homomorphism in Q is fuzzy subgroups and normal subgroups. It is establish some findings in this study article and build the theory of anti-homomorphism in Q-fuzzy ...
R Jahir Hussain, S Palaniyandi
doaj   +1 more source

Groups with normal restriction property [PDF]

open access: yes, 2009
Let G be a finite group. A subgroup M of G is said to be an NR-subgroup if, whenever K is normal in M, then K^G\cap M=K, where K^G is the normal closure of K in G.
Tong-Viet, Hung P.
core   +1 more source

Normal Reflection Subgroups

open access: yes, 2020
10 pages; to appear in DMTCS Proceedings (Formal Power Series and Algebraic Combinatorics)
Arreche, Carlos E., Williams, Nathan F.
openaire   +3 more sources

On CSQ-normal subgroups of finite groups

open access: yesOpen Mathematics, 2016
We introduce a new subgroup embedding property of finite groups called CSQ-normality of subgroups. Using this subgroup property, we determine the structure of finite groups with some CSQ-normal subgroups of Sylow subgroups.
Xu Yong, Li Xianhua
doaj   +1 more source

Efficient quantum algorithms for some instances of the non-Abelian hidden subgroup problem [PDF]

open access: yes, 2001
In this paper we show that certain special cases of the hidden subgroup problem can be solved in polynomial time by a quantum algorithm. These special cases involve finding hidden normal subgroups of solvable groups and permutation groups, finding hidden
Ivanyos, Gabor   +2 more
core   +2 more sources

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