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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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Normalizers and centralizers of p-subgroups in normal subsystems of fusion systems [PDF]
Journal of Algebra, 2021 6 ...
Ellen Henke
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Number-theoretic positive entropy shifts with small centralizer and large normalizer [PDF]
Ergodic Theory and Dynamical Systems, 2019 Higher-dimensional binary shifts of number-theoretic origin with positive topological entropy are considered. We are particularly interested in analysing their symmetries and extended symmetries. They form groups, known as the topological centralizer and
Michael Baake +4 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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Normalizers, centralizers and action accessibility [PDF]
Theory and Applications of Categories, 2015 Summary: We give several reformulations of action accessibility in the sense of D. Bourn and G. Janelidze. In particular we prove that a pointed exact protomodular category is action accessible if and only if for each normal monomorphism \(\kappa:X\to A\) the normalizer of \(\langle \kappa,\kappa \rangle: X\to A\times A\) exists.
James Richard Andrew Gray
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CENTRALIZER AND NORMALIZER OF A MULTIGROUP
, 2023 Abstract: The concept of multiset generalises the classical set, and so multigroup is an algebraic structure of multiset. In this paper we study the concept of centralizer and normalizer of a group under the context of multiset. The closure of these concept was studied under union, intersection, arithemetic addition, compposition and arithmetic ...
Gambo Jeremiah Gyam, Peter Ogwola
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A note on element centralizers in finite Coxeter groups [PDF]
, 2010 The normalizer NW (WJ ) of a standard parabolic subgroup WJ of a finite Coxeter group W splits over the parabolic subgroup with complement NJ consisting of certain minimal length coset representatives of WJ in W.
Matjaž Konvalinka +2 more
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Abelian Subgroups of Garside Groups [PDF]
, 2006 In this article, we show that for every abelian subgroup H of a Garside group, some conjugate g −1 Hg consists of ultra summit elements and the centralizer of H is a finite index subgroup of the normalizer of H.
Eonkyung Lee, Sang Jin Lee
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Centralizing and normalizing constants for extrema and for records [PDF]
Journal of Soviet Mathematics, 1990 See the review in Zbl 0667.62013.
V. B. Nevzorov
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How to centralize and normalize quandle extensions [PDF]
Journal of Knot Theory and Its Ramifications, 2018 We show that quandle coverings in the sense of Eisermann form a (regular epi)-reflective subcategory of the category of surjective quandle homomorphisms, both by using arguments coming from categorical Galois theory and by constructing concretely a centralization congruence. Moreover, we show that a similar result holds for normal quandle extensions.
Mathieu Duckerts-Antoine +2 more
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