Results 31 to 40 of about 5,444,235 (274)
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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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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Polytopes associated to dihedral groups
Ars Mathematica Contemporanea, 2013 In this note we investigate the convex hull of those $n \times n$-permutation matrices that correspond to symmetries of a regular $n$-gon. We give the complete facet description. As an application, we show that this yields a Gorenstein polytope, and we determine the Ehrhart $h^*$-vector.
Barbara Baumeister +3 more
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Rota–Baxter Operators on Dihedral and Alternating Groups [PDF]
Advances in Group Theory and ApplicationsRota–Baxter operators on algebras, which appeared in 1960, have connections with different versions of the Yang–Baxter equation, pre- and postalgebras, double Poisson algebras, etc. In 2020, the notion of Rota–Baxter operator on a group was defined by L.
Alexey Galt, Vsevolod Gubarev
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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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Dihedral Quintic Fields with a Power Basis [PDF]
, 2005 It is shown that there exist infinitely many dihedral quintic fields with a power basis.
Blair K. Spearman +7 more
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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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5-(3,4,5-Trimethoxyphenyl)-1,3,4-oxadiazole-2(3H)-thione [PDF]
, 2010 The two rings in the title compound, C11H12N2O4S, are roughly coplanar [dihedral angle = 6.77 (8)°]. Whereas the two outer methyl groups of the three methoxy groups are almost coplanar with the aromatic ring to which they are attached [C—C—O—C torsion ...
Bolte, Michael +7 more
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On commutation semigroups of dihedral groups [PDF]
Semigroup Forum, 2013 For G a group and g in G, we define mappings pg(G) and lg(G) from G into G by pg(x)=[x,g] and lg(x)=[g,x]. We let P(G) and L(G) denote the subsemigroups of the set of all mappings from G to G generated by {pg: g in G} and {lg: g in G}, respectively. P(G) and L(G) are called the right and left commutation semigroup of G, respectively.
DeWolf, Darien +2 more
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On Direct Products of Dihedral Groups in Locally Finite Groups
Известия Иркутского государственного университета: Серия "Математика"When studying infinite groups, as a rule, some finiteness conditions are imposed. For example, they require that the group be periodic, a Shunkov group, a Frobenius group, or a locally finite group.
I. A. Timofeenko, A.A. Shlepkin
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