Results 21 to 30 of about 30,795 (238)
On bipartite divisor graphs for group conjugacy class sizes
Journal of Pure and Applied Algebra, 2009 Many authors have considered the influence of arithmetic structure, such as conjugacy class sizes or character degrees, on the algebraic structure of a finite group. Graphs have been introduced to illustrate this arithmetic structure. Let \(X\) be a set of positive integers, then the `prime vertex graph' \(\Delta(X)\) of \(X\) is defined as follows ...
BUBBOLONI, DANIELA +3 more
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An Inductive Schema for Computing Conjugacy Classes in Permutation Groups [PDF]
Mathematics of Computation, 1994 An approach to computing the conjugacy classes of elements of large permutation groups is presented in detail, and a prototype implementation is described. The approach builds on recent efficient algorithms for computing conjugacy classes of p-groups, and for computing Sylow subgroups of large permutation groups.
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Characterization of Frobenius Groups of Special Type [PDF]
, 2006 We define a Con-Cos group G to be one having a proper normal subgroup N whose cosets other than N itself are conjugacy classes. It follows easily that N = G’, the derived group of G.
Muktibodh, Arun S.
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Results in Physics, 2020 In this paper, the Bogoyavlenskii–Kadomtsev–Petviashvili (BKP) equation is taken into consideration by means of Lie symmetry analysis. Infinitesimal generators are computed under the invariance criteria of Lie groups and symmetry group for each generator
Adil Jhangeer +5 more
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Conjugacy classes and rational period functions for the Hecke groups
International Journal of Number Theory, 2022 In this paper, we establish a one-to-one correspondence between conjugacy classes of any Hecke group and irreducible systems of poles of rational period functions for automorphic integrals on the same group. We use this correspondence to construct irreducible systems of poles and to count poles. We characterize Hecke-conjugation and Hecke-symmetry for
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CHARACTER LEVELS AND CHARACTER BOUNDS
Forum of Mathematics, Pi, 2020 We develop the concept of character level for the complex irreducible characters of finite, general or special, linear and unitary groups. We give characterizations of the level of a character in terms of its Lusztig label and in terms of its degree ...
ROBERT M. GURALNICK +2 more
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Orbit counting in conjugacy classes for free groups acting on trees [PDF]
Journal of Topology and Analysis, 2017 In this paper we study the action of the fundamental group of a finite metric graph on its universal covering tree. We assume the graph is finite, connected and the degree of each vertex is at least three. Further, we assume an irrationality condition on the edge lengths.
Kenison, G, Sharp, R
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Graph Coverings for Investigating Non Local Structures in Proteins, Music and Poems
Sci, 2021 We explore the structural similarities in three different languages, first in the protein language whose primary letters are the amino acids, second in the musical language whose primary letters are the notes, and third in the poetry language whose ...
Michel Planat +4 more
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The reduction theorem for relatively maximal subgroups
Bulletin of Mathematical Sciences, 2022 Let [Formula: see text] be a class of finite groups closed under taking subgroups, homomorphic images and extensions. It is known that if [Formula: see text] is a normal subgroup of a finite group [Formula: see text] then the image of an [Formula: see ...
Wenbin Guo +2 more
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The number of conjugacy classes in pattern groups is not a polynomial function [PDF]
, 2011 A famous open problem due to Graham Higman asks if the number of conjugacy classes in the group of n x n unipotent upper triangular matrices over the q-element field can be expressed as a polynomial function of q for every fixed n.
Mazur B. +3 more
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