Results 21 to 30 of about 37,517 (252)
European Journal of Combinatorics, 2006 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Shalom Eliahou, Michel Kervaire
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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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Limits of dihedral groups [PDF]
Geometriae Dedicata, 2009 We give a characterization of limits of dihedral groups in the space of finitely generated marked groups. We also describe the topological closure of dihedral groups in the space of marked groups on a fixed number of generators.
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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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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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The real genus of cyclic by dihedral and dihedral by dihedral groups
Journal of Algebra, 2006 Every finite group acts as an automorphism group of several bordered compact Klein surfaces. The minimal genus of these surfaces is called the real genus. At first, the authors of this paper complete May's discussions about the real genus of groups \(C_m\times D_n\) (where \(C_m\) is a cyclic group).
Etayo Gordejuela, José Javier +1 more
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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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