Normalizers and centralizers of subnormal subsystems of fusion systems [PDF]
Ellen Henke, Normalizers and centralizers of subnormal subsystems
of fusion systems, J. London Math. Soc. \textbf{111} (2025), No. 1, e70048, 2021 Every saturated fusion system corresponds to a group-like structure called a regular locality. In this paper we study (suitably defined) normalizers and centralizers of partial subnormal subgroups of regular localities. This leads to a reasonable notion of normalizers and centralizers of subnormal subsystems of fusion systems.
Ellen Henke
arxiv +4 more sources
Centralizers and normalizers of local analytic and formal vector fields [PDF]
J. Lie Theory 31 (2021), no. 3, 751 - 796, 2020 We investigate the structure of the centralizer and the normalizer of a local analytic or formal differential system at a nondegenerate stationary point, using the theory of Poincar\'e-Dulac normal forms. Our main results are concerned with the formal case.
Niclas Kruff +2 more
arxiv +3 more sources
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
doaj +2 more sources
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
doaj +1 more source
On the fuzzification of Lagrange's theorem in (α,β)-Pythagorean fuzzy environment
AIMS Mathematics, 2021 An (α,β)-Pythagorean fuzzy environment is an efficient tool for handling vagueness. In this paper, the notion of relative subgroup of a group is introduced.
Supriya Bhunia, Ganesh Ghorai, Qin Xin
doaj +1 more source
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
doaj +1 more source
LOCALLY NORMAL SUBGROUPS OF TOTALLY DISCONNECTED GROUPS. PART I: GENERAL THEORY
Forum of Mathematics, Sigma, 2017 Let $G$ be a totally disconnected, locally compact group. A closed subgroup of $G$
PIERRE-EMMANUEL CAPRACE +2 more
doaj +1 more source
Normalized Laplacian spectra of central vertex join and central edge join of graphs [PDF]
arXiv, 2021 In this paper, we compute normalized Laplacian spectra of central graph of a regular graph, central vertex join and central edge join of two regular graphs. Also, we determine their Kemeny's constant and degree Kirchhoff index.
arxiv
Normalizers and centralizers of p-subgroups in normal subsystems of fusion systems [PDF]
, 2021 Ellen Henke
+5 more sources
Centralizers of normal subsystems revisited [PDF]
, 2018 In this paper we revisit two concepts which were originally introduced by Aschbacher and are crucial in the theory of saturated fusion systems: Firstly, we give a new approach to defining the centralizer of a normal subsystem. Secondly, we revisit the construction of the product of two normal subsystems which centralize each other.
arxiv +1 more source