Results 1 to 10 of about 379,510 (267)
On groups with many normal subgroups [PDF]
International Journal of Group Theory, 2023 The structure of groups which are rich in normal subgroups has been investigated by several authors. Here, we prove that if a radical group G has normal deviation, which means that the set of its non-normal subgroups satisfies a very weak chain condition,
Alessio Russo, Mario Viscusi
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On non-normal cyclic subgroups of prime order or order 4 of finite groups
Open Mathematics, 2021 In this paper, we call a finite group GG an NLMNLM-group (NCMNCM-group, respectively) if every non-normal cyclic subgroup of prime order or order 4 (prime power order, respectively) in GG is contained in a non-normal maximal subgroup of GG.
Guo Pengfei, Han Zhangjia
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Anti-Homomorphism in Q-Fuzzy Subgroups and Normal Subgroups
Ratio 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
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Anti Q-M-Fuzzy Normal Subgroups
Ratio Mathematica, 2023 Numerous subject fields have made use of the fuzzy idea. Both the M-fuzzy level subsets and the anti Q-M-fuzzy normal subgroups are defined. You will also discover some group Q-M-homomorphism and group anti Q-M-homomorphism results in this study.
S Palaniyandi, R Jahir Hussain
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On Groups whose Subnormal Abelian Subgroups are Normal [PDF]
Advances in Group Theory and Applications, 2022 In the current paper we study the groups, whose subnormal abelian subgroups are normal. We obtained a quite detailed description of such hyperabelian groups with a periodic Baer radical.
L.A. Kurdachenko +2 more
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On the Normal Subgroups of $G_2(A)$ [PDF]
Transactions of the American Mathematical Society, 1988 For a commutative local ring A, the authors determine the normal subgroups of the general linear group GL(2,A). Since every Artinian commutative ring A is a finite direct sum of local rings they are also able to derive a description for all normal subgroups of GL(2,A) for an Artinian ring A.
Costa, Douglas L., Keller, Gordon E.
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Finite non-nilpotent groups with few non-normal non-cyclic subgroups [PDF]
International Journal of Group Theory, 2017 For a finite group $G$, let $nu_{nc}(G)$ denote the number of conjugacy classes of non-normal non-cyclic subgroups of $G$. We characterize the finite non-nilpotent groups whose all non-normal non-cyclic subgroups are conjugate.
Hamid Mousavi, Zahra Rezazadeh
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On the group of homeomorphisms on R: A revisit
Applied General Topology, 2022 In this article, we prove that the group of all increasing homeomorphisms on R has exactly five normal subgroups, and the group of all homeomorphisms on R has exactly four normal subgroups.
Kamaludheen Ali Akbar, T. Mubeena
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Normal supercharacter theory of the dihedral groups [PDF]
AUT Journal of Mathematics and Computing, 2023 Diaconis and Isaacs defined the supercharacter theory for finite groups as a natural generalization of the classical ordinary character theory of finite groups.
Hadiseh Saydi
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Conjugacy classes contained in normal subgroups: an overview [PDF]
International Journal of Group Theory, 2018 We survey known results concerning how the conjugacy classes contained in a normal subgroup and their sizes exert an influence on the normal structure of a finite group.
Antonio Beltran +2 more
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