Results 1 to 10 of about 87,109 (183)
Polynomials Associated with Dihedral Groups [PDF]
Symmetry, Integrability and Geometry: Methods and Applications, 2007 There is a commutative algebra of differential-difference operators, with two parameters, associated to any dihedral group with an even number of reflections. The intertwining operator relates this algebra to the algebra of partial derivatives.
Charles F. Dunkl
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On complete decompositions of dihedral groups [PDF]
ITM Web of Conferences, 2021 Let G be a finite non-abelian group and B1, …, Bt be nonempty subsets of G for integer t ≥ 2. Suppose that B1, …, Bt are pairwise disjoint, then (B1, …, Bt) is called a complete decomposition of G of order t if the subset product Bi1 … Bit = {bi1 … bit |
Chen Huey Voon, Sin Chang Seng
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Normal supercharacter theory of the dihedral groups [PDF]
AUT Journal of Mathematics and Computing, 2023 Diaconis and Isaacs defined the supercharacter theory for finite groups as a natural generalization of the classical ordinary character theory of finite groups.
Hadiseh Saydi
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On n-A-con-cos Groups and Determination of some 3-A-con-cos Groups [PDF]
Mathematics Interdisciplinary Research, 2021 In this paper, we introduce the concept of n-A-con-cos groups, n ≥ 2, mention some properties of them and determine all finite abelian groups with at most two direct factors.
Ahmad Gholami, Fatemeh Mahmudi
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The probability of commuting subgroups in arbitrary lattices of subgroups [PDF]
International Journal of Group Theory, 2021 A finite group $G$, in which two randomly chosen subgroups $H$ and $K$ commute, has been classified by Iwasawa in 1941. It is possible to define a probabilistic notion, which ``measures the distance'' of $G$ from the groups of Iwasawa.
Seid Kassaw Muhie, Francesco G. Russo
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Difference bases in dihedral groups [PDF]
International Journal of Group Theory, 2019 A subset $B$ of a group $G$ is called a {em difference basis} of $G$ if each element $gin G$ can be written as the difference $g=ab^{-1}$ of some elements $a,bin B$.
Taras Banakh, Volodymyr Gavrylkiv
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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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Generalized dihedral CI-groups
Ars Mathematica Contemporanea, 2022 In this paper, we find a strong new restriction on the structure of CI-groups. We show that, if $R$ is a generalised dihedral group and if $R$ is a CI-group, then for every odd prime $p$ the Sylow $p$-subgroup of $R$ has order $p$, or $9$. Consequently, any CI-group with quotient a generalised dihedral group has the same restriction, that for every odd
Dobson T., Muzychuk M., Spiga P.
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Locally Finite Groups Saturated with Direct Product of Two Finite Dihedral Groups
Известия Иркутского государственного университета: Серия "Математика", 2023 In the study of infinite groups, as a rule, some finiteness conditions are imposed. For example, the group is required to be periodic, Shunkov group, Frobenius group, locally finite group.
A. V. Kukharev, A.A. Shlepkin
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Calculations of Dihedral Groups Using Circular Indexation [PDF]
Mathematics Interdisciplinary Research, 2019 In this work, a regular polygon with n sides is described by a periodic (circular) sequence with period n. Each element of the sequence represents a vertex of the polygon.
Reza Dianat, Mojgan Mogharrab
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