Results 1 to 10 of about 2,545 (225)
One-prime power hypothesis for conjugacy class sizes [PDF]
International Journal of Group Theory, 2017 A finite group $G$ satisfies the on-prime power hypothesis for conjugacy class sizes if any two conjugacy class sizes $m$ and $n$ are either equal or have a common divisor a prime power. Taeri conjectured that an insoluble group satisfying this condition
Alan Camina, Rachel Camina
doaj +3 more sources
Restrictions on sets of conjugacy class sizes in arithmetic progressions [PDF]
International Journal of Group Theory, 2023 We continue the investigation, that began in [M. Bianchi, A. Gillio and P. P. Pálfy, A note on finite groups in which the conjugacy class sizes form an arithmetic progression, Ischia group theory 2010, World Sci. Publ., Hackensack, NJ (2012) 20--25.] and
Alan R. Camina, Rachel D. Camina
doaj +1 more source
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
doaj +1 more source
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
doaj +1 more source
COMMON NEIGHBOURHOOD SPECTRUM AND ENERGY OF COMMUTING CONJUGACY CLASS GRAPH [PDF]
Journal of Algebraic Systems, 2023 In this paper, we compute the common neighbourhood (abbreviated as CN) spectrum and the common neighbourhood energy of commuting conjugacy class graph of several families of finite non-abelian groups.
Firdous Jannat, Rajat Nath
doaj +1 more source
From conjugacy classes in the Weyl group to semisimple conjugacy classes [PDF]
Pure and Applied Mathematics Quarterly, 2021 Suppose $G$ is a connected complex semisimple group and $W$ is its Weyl group. The lifting of an element of $W$ to $G$ is semisimple. This induces a well-defined map from the set of elliptic conjugacy classes of $W$ to the set of semisimple conjugacy classes of $G$. In this paper, we give a uniform algorithm to compute this map.
Adams, Jeffrey, He, Xuhua, Nie, Sian
openaire +2 more sources
Cordial elements and dimensions of affine Deligne–Lusztig varieties
Forum of Mathematics, Pi, 2021 The affine Deligne–Lusztig variety $X_w(b)$ in the affine flag variety of a reductive group ${\mathbf G}$ depends on two parameters: the $\sigma $ -conjugacy class $[b]$ and the element w in the Iwahori–Weyl group $\tilde ...
Xuhua He
doaj +1 more source
Classification of the Morse – Smale flows on surfaces with a finite moduli of stability number in sense of topological conjugacy [PDF]
Известия высших учебных заведений: Прикладная нелинейная динамика, 2021 Purpose. The purpose of this study is to consider the class of Morse – Smale flows on surfaces, to characterize its subclass consisting of flows with a finite number of moduli of stability, and to obtain a topological classification of such flows ...
Kruglov, Vladislav Evgenievich +1 more
doaj +1 more source
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
doaj +1 more source
Conjugacy Class Sizes in Affine Semi-linear Groups [PDF]
Advances in Group Theory and Applications, 2020 The aim of this work is to study the structure and sizes of conjugacy classes in certain affine semi-linear groups. This provides a wealth of finite groups of small conjugate rank that are solvable and non-nilpotent.
Hossein Shahrtash
doaj +1 more source