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Two Types of Non-Abelian Topological Phase Transitions Under Duality Mapping in 1D Photonic Chains. [PDF]
Adv Sci (Weinh)In this work, two types of non‐Abelian phase transitions are revealed. The first type is the braided‐node type, signified by the Dirac degeneracy node moving into or out of the unit circle. The second type corresponds to the emerging of nodal‐line degeneracy which intersects with unit circles.
Liu Y +6 more
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Commuting conjugacy classes graph of the generalized dihedral and dicyclic groups [PDF]
ریاضی و جامعه, 2023 Suppose $G$ is a finite non-abelian group and $\Gamma(G)$ is a simple graph with the non-central conjugacy classes of $G$ as its vertex set. Two different non-central conjugacy classes $A$ and $B$ are assumed to be adjacent if and only if there are ...
Mohammadali Salahshour
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Commuting Conjugacy Class Graph of G when G / Z(G)~=D2n [PDF]
Mathematics Interdisciplinary Research, 2020 Suppose G is a finite non-abelian group and Γ(G) is a simple graph with the non-central conjugacy classes of G as its vertex set. Two different noncentral conjugacy classes C and B are assumed to be adjacent in Γ(G) if and only if there are elements a ...
Mohammad Ali Salahshour
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Boundedly finite conjugacy classes of tensors [PDF]
International Journal of Group Theory, 2021 Let $n$ be a positive integer and let $G$ be a group. We denote by $\nu(G)$ a certain extension of the non-abelian tensor square $G \otimes G$ by $G \times G$. Set $T_{\otimes}(G) = \{g \otimes h \mid g,h \in G\}$.
Raimundo Bastos, Carmine Monetta
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Q-conjugacy character table for the non-rigid group of 2,3-dimethylbutane [PDF]
Journal of the Serbian Chemical Society, 2009 Maturated and unmaturated groups were introduced by the Japanese chemist Shinsaku Fujita, who used them in the markaracter table and the Q-conjugacy character table of a finite group.
Darafsheh Reza Mohammad, Moghani Ali
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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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Some problems about products of conjugacy classes in finite groups [PDF]
International Journal of Group Theory, 2020 We summarize several results about non-simplicity, solvability and normal structure of finite groups related to the number of conjugacy classes appearing in the product or the power of conjugacy classes.
Antonio Beltrán +2 more
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On the Regular Power Graph on the Conjugacy Classes of Finite Groups [PDF]
Mathematics Interdisciplinary Research, 2018 The (undirected) power graph on the conjugacy classes PC(G) of a group G is a simple graph in which the vertices are the conjugacy classes of G and two distinct vertices C and C' are adjacent in PC(G) if one is a subset of a power of the other.
Sajjad Mahmood Robati
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The Projective Special Linear Group PSL(4,2). [PDF]
مجلة جامعة الانبار للعلوم الصرفة, 2009 :The present study deals with conjugacy classes for the projective linear group. The study of conjugacy classes has a great and important role; in hand it is an introductory step to study the general linear group and also the maximal subgroup in it.We ...
Muthana A. Mahmood, Alaa Adnan Auad
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The transitivity of primary conjugacy in regular ω-semigroups
Open Mathematics, 2022 The conjugacy relation plays an important role in group theory and the conjugacy relation of groups has been generalized to semigroups in various methods by several authors.
Liu Xin, Wang Shoufeng
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