Results 31 to 40 of about 798,154 (283)
A Study on Groupoids, Ideals and Congruences via Cubic Sets
Axioms, 2022 The inclusion, the intersection and the union between cubic sets are each defined in two ways. From this point of view, we introduce the concepts of cubic subgroupoids, cubic ideals, cubic subgroups, and cubic congruences as two types, respectively, and ...
Jeong-Gon Lee +4 more
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Centralizers of normal subgroups and the $Z^*$-Theorem [PDF]
, 2015 Glauberman's $Z^*$-theorem and analogous statements for odd primes show that, for any prime $p$ and any finite group $G$ with Sylow $p$-subgroup $S$, the centre of $G/O_{p^\prime}(G)$ is determined by the fusion system $\mathcal{F}_S(G)$.
Henke, Ellen, Semeraro, Jason
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The hidden subgroup problem and quantum computation using group representations [PDF]
, 2003 The hidden subgroup problem is the foundation of many quantum algorithms. An efficient solution is known for the problem over abelian groups, employed by both Simon's algorithm and Shor's factoring and discrete log algorithms.
Hallgren, Sean +2 more
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Normal Subgroups Contained in Frattini Subgroups are Frattini Subgroups [PDF]
Proceedings of the American Mathematical Society, 1980 We prove that if N is a normal subgroup of the finite group G and if N ⊆ Φ ( G ) N \subseteq \Phi (G) , then there exists a finite group U such that N = Φ ( U ) N = \Phi (U) exactly.
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On groups in which subnormal subgroups of infinite rank are commensurable with some normal subgroup [PDF]
International Journal of Group Theory, 2022 We study soluble groups $G$ in which each subnormal subgroup $H$ with infinite rank is commensurable with a normal subgroup, i.e. there exists a normal subgroup $N$ such that $H\cap N$ has finite index in both $H$ and $N$.
Ulderico Dardano, Fausto De Mari
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Some normal subgroups of homomorphisms [PDF]
Transactions of the American Mathematical Society, 1966 lement of a euclidean neighborhood, and for B the closure of a euclidean neighborhood. They are able to show that the set of h which satisfy (a) is just the group P(X) generated by the elements of H(X) which agree with the identity on some open set, provided X has what they call a stable structure.
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On groups, whose non-normal subgroups are either contranormal or core-free
Доповiдi Нацiональної академiї наук УкраїниWe investigate the influence of some natural types of subgroups on the structure of groups. A subgroup H of a group G is called contranormal in G, if G = HG. A subgroup H of a group G is called core-free in G, if CoreG(H) = 〈1〉.
L.A. Kurdachenko +2 more
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On Fundamental Algebraic Characterizations of μ-Fuzzy Normal Subgroups
Journal of Function Spaces, 2022 In this article, we present the study of μ-fuzzy subgroups and prove numerous fundamental algebraic attributes of this newly defined notion. We also define the concept of μ-fuzzy normal subgroup and investigate many vital algebraic characteristics of ...
Ibtisam Masmali +4 more
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Frattini Argument for Hall subgroups
, 2014 In the paper, it is proved that if a finite group $G$ possesses a $\pi$-Hall subgroup for a set $\pi$ of primes, then every normal subgroup $A$ of $G$ possesses a $\pi$-Hall subgroup $H$ such that ${G=AN_G(H)}$
Revin, Danila, Vdovin, Evgeny
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Finite coverings by normal subgroups [PDF]
Proceedings of the American Mathematical Society, 1988 B. H. Neumann’s characterization of groups possessing a finite covering by proper subgroups and Baer’s characterization of groups with finite coverings by abelian subgroups are refined to results about finite coverings by normal subgroups. Various corollaries about the structure of groups having such finite coverings are derived.
Brodie, M. A. +2 more
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