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Normalizers and self-normalizing subgroups II
Open Mathematics, 2011 Abstract Let $\mathbb{K}$ be a field, G a reductive algebraic $\mathbb{K}$-group, and G 1 ≤ G a reductive subgroup. For G 1 ≤ G, the corresponding groups of $\mathbb{K}$-points, we study the normalizer N = N G(G 1).
Širola Boris
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Conjugate L-subgroups of An L-group and Their Applications to Normality and Normalizer
Fuzzy Information and Engineering, 2022 In this paper, the notion of the conjugate of an L-subgroup by an L-point has been introduced. Then, several properties of conjugate L-subgroups have been studied analogous to their group-theoretic counterparts.
Iffat Jahan, Ananya Manas
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Class-preserving Coleman automorphisms of some classes of finite groups
Open Mathematics, 2022 The normalizer problem of integral group rings has been studied extensively in recent years due to its connection with the longstanding isomorphism problem of integral group rings.
Hai Jingjing, Li Zhengxing, Ling Xian
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On Groups with Extreme Centralizers and Normalizers [PDF]
Advances in Group Theory and Applications, 2016 An FCI-group is a group in which every non-normal cyclic subgroup has finite index in its centralizer and an FNI-group is one in which every non-normal subgroup has finite index in its normalizer.
Derek J.S. Robinson
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Bipolar Complex Fuzzy Subgroups
Mathematics, 2022 In this study, firstly, we interpret the level set, support, kernel for bipolar complex fuzzy (BCF) set, bipolar complex characteristic function, and BCF point.
Xiaopeng Yang +2 more
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Self-normalizing Sylow subgroups [PDF]
Proceedings of the American Mathematical Society, 2003 Using the classification of finite simple groups we prove the following statement: Let p > 3 p>3 be a prime, Q Q a group of automorphisms of p p -power order of a finite group G G , and P P a Q Q -invariant Sylow
Guralnick, Robert M. +2 more
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A Certain Class of
IEEE Access, 2020 In this study, the $t$ -intuitionistic fuzzy normalizer and centralizer of $t$ intuitionistic fuzzy subgroup are proposed. The $t$ -intuitionistic fuzzy centralizer is normal subgroup of $t$ -intuitionistic fuzzy normalizer and investigate various ...
Muhammad Gulzar +3 more
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Some Neutrosophic Triplet Subgroup Properties and Homomorphism Theorems in Singular Weak Commutative Neutrosophic Extended Triplet Group [PDF]
Neutrosophic Sets and Systems, 2021 In 2018, the study of neutrosophic triplet cosets and neutrosophic triplet quotient group of a neutrosophic extended triplet group was initiated with a follow up of the establishment of fundamental homomorphism theorems for neutrosophic extended triplet ...
Temitope Gbolahan Jaiyeola +2 more
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Cherednik algebra for the normalizer
Comptes Rendus. Mathématique, 2022 Ginzburg, Guay, Opdam and Rouquier established an equivalence of categories between a quotient category of the category $\mathcal{O}$ for the rational Cherednik algebra and the category of finite dimension modules of the Hecke algebra of a complex ...
Fallet, Henry
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On Minimal Non-Soluble Groups, the Normalizer Condition and McLain Groups [PDF]
Advances in Group Theory and Applications, 2017 We prove that a minimal non-soluble ($MN\mathfrak{S}$ in short) Fitting $p$-group $G$ has a proper subgroup $K$ such that for every proper subgroup $R$ of $G$ containing $K$, we have $N_G(R) > R$.
Ahmet Arikan
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