Results 21 to 30 of about 87,109 (183)
InPrime, 2023 For any finite group, the non-coprime graph of the group is a graph with vertices consisting of all non-identity elements of the group. Two different vertices are considered adjacent if their orders are not coprime, meaning their greatest common divisor (
Sita Armi Aulia +5 more
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Mixed and Non-mixed Normal Subgroups of Dihedral Groups Using Conjugacy classes
Ratio Mathematica, 2021 In this paper, we characterize and compute the mixed and non-mixed basis of Dihedral groups. Also, by computing the conjugacy classes, we describe all the mixed and non-mixed normal subgroups of Dihedral Groups.
S. Vinod, G.S. Biju
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Dihedral Groups as Epimorphic Images of Some Fibonacci Groups
Sultan Qaboos University Journal for Science, 2013 The Fibonacci groups are defined by the presentation where , and all subscripts are assumed to be reduced modulo . In this paper we give an alternative proof that for , , and are all infinite by establishing a morphism (or group homomorphism) onto the ...
Abdullahi Umar, Bashir Ali
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The Connection between the PQ Penny Flip Game and the Dihedral Groups
Mathematics, 2021 This paper is inspired by the PQ penny flip game. It employs group-theoretic concepts to study the original game and its possible extensions. In this paper, it is shown that the PQ penny flip game can be associated, in a precise way, with the dihedral ...
Theodore Andronikos, Alla Sirokofskich
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European Journal of Combinatorics, 2006 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Eliahou, Shalom, Kervaire, Michel
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On Periodic Groups and Shunkov Groups that are Saturated by Dihedral Groups and $A_5$
Известия Иркутского государственного университета: Серия "Математика", 2017 A group is said to be periodic, if any of its elements is of finite order. A Shunkov group is a group in which any pair of conjugate elements generates Finite subgroup with preservation of this property when passing to factor groups by finite Subgroups ...
A. Shlepkin
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A new regular group divisible design
Examples and Counterexamples, 2021 A regular group divisible design with parameters: v=b=39, r=k=9, λ1=0, λ2=2, m=13, n=3is obtained using balanced generalized Weighing matrix over a dihedral group of order 6.
Shyam Saurabh, Kishore Sinha
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Partition numbers of finite solvable groups [PDF]
Advances in Group Theory and Applications, 2018 A group partition is a group cover in which the elements have trivial pairwise intersection. Here we define the partition number of a group - the minimal number of subgroups necessary to form a partition - and examine some of its properties, including ...
Tuval Foguel, Nick Sizemore
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Vector Polynomials and a Matrix Weight Associated to Dihedral Groups [PDF]
, 2014 The space of polynomials in two real variables with values in a 2-dimensional irreducible module of a dihedral group is studied as a standard module for Dunkl operators.
Dunkl, Charles F.
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The Dunkl kernel and intertwining operator for dihedral groups
, 2020 Dunkl operators associated with finite reflection groups generate a commutative algebra of differential-difference operators. There exists a unique linear operator called intertwining operator which intertwines between this algebra and the algebra of ...
De Bie, Hendrik, Lian, Pan
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