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Opuscula Mathematica ON TRIANGULAR (Dn)ACTIONS ON CYCLIC pGONAL RIEMANN SURFACES
"... Abstract. A compact Riemann surface X of genus g> 1 which has a conformal automorphism ρ of prime order p such that the orbit space X/〈ρ 〉 is the Riemann sphere is called cyclic pgonal. Exceptional points in the moduli spaceMg of compact Riemann surfaces of genus g are unique surface classes wh ..."
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whose full group of conformal automorphisms acts with a triangular signature. We study symmetries of exceptional points in the cyclic pgonal locus inMg for which Aut(X)/〈ρ 〉 is a dihedral group Dn.
θC from the Dihedral Flavor Symmetries D7 and D14
, 710
"... In [1] it has been shown that the Cabibbo angle θC might arise from a dihedral flavor symmetry which is broken to different (directions of) subgroups in the up and the down quark sector. This leads to a prediction of θC in terms of group theoretical quantities only, i.e. the index n of the dihedral ..."
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In [1] it has been shown that the Cabibbo angle θC might arise from a dihedral flavor symmetry which is broken to different (directions of) subgroups in the up and the down quark sector. This leads to a prediction of θC in terms of group theoretical quantities only, i.e. the index n of the dihedral
Hurwitz Equivalence in Tuples of Dihedral Groups, Dicyclic Groups, and Semidihedral Groups
"... Let D2N be the dihedral group of order 2N, Dic4M the dicyclic group of order 4M, SD2m the semidihedral group of order 2m, and M2m the group of order 2m with presentation M2m = 〈α,β  α2m−1 the orbits in Dn 2N, Dicn4M, SDn 2m, and Mn 2 = β2 = 1, βαβ−1 = α2m−2 +1〉. We classify m under the Hurwitz acti ..."
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Cited by 3 (0 self)
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Let D2N be the dihedral group of order 2N, Dic4M the dicyclic group of order 4M, SD2m the semidihedral group of order 2m, and M2m the group of order 2m with presentation M2m = 〈α,β  α2m−1 the orbits in Dn 2N, Dicn4M, SDn 2m, and Mn 2 = β2 = 1, βαβ−1 = α2m−2 +1〉. We classify m under the Hurwitz
Hurwitz Equivalence in Tuples of Generalized Quaternion Groups and Dihedral Groups
"... Let Q2m be the generalized quaternion group of order 2m and DN the dihedral group of order 2N. We classify the orbits in Qn 2m and Dn pm (p prime) under the Hurwitz action. 1 The Hurwitz Action Let G be a group. For a, b ∈ G, let a b = b −1 ab and b a = bab −1. The Hurwitz action on G n (n ≥ 2) is a ..."
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Let Q2m be the generalized quaternion group of order 2m and DN the dihedral group of order 2N. We classify the orbits in Qn 2m and Dn pm (p prime) under the Hurwitz action. 1 The Hurwitz Action Let G be a group. For a, b ∈ G, let a b = b −1 ab and b a = bab −1. The Hurwitz action on G n (n ≥ 2
The Brauer group of the dihedral group
"... Let pm be a power of a prime number p, Dpm be the dihedral group of order 2pm and k be a field where p is invertible and containing a primitive 2pmth root of unity. The aim of this paper is computing the Brauer group BM(k,Dpm, Rz) of the group Hopf algebra of Dpm with respect to the quasitriangula ..."
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Let pm be a power of a prime number p, Dpm be the dihedral group of order 2pm and k be a field where p is invertible and containing a primitive 2pmth root of unity. The aim of this paper is computing the Brauer group BM(k,Dpm, Rz) of the group Hopf algebra of Dpm with respect to the quasi
Affine buildings for dihedral groups
, 2008
"... We construct rank 2 thick nondiscrete affine buildings associated with an arbitrary finite dihedral group. 1 ..."
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Cited by 4 (1 self)
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We construct rank 2 thick nondiscrete affine buildings associated with an arbitrary finite dihedral group. 1
Class groups of dihedral extensions
 Math. Nachr. CCLXXVIII
"... Abstract. Let L/F be a dihedral extension of degree 2p, where p is an odd prime. Let K/F and k/F be subextensions of L/F with degrees p and 2, respectively. Then we will study relations between the pranks of the class groups Cl(K) and Cl(k). 1. A Short History of Reflection Theorems Results compari ..."
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Abstract. Let L/F be a dihedral extension of degree 2p, where p is an odd prime. Let K/F and k/F be subextensions of L/F with degrees p and 2, respectively. Then we will study relations between the pranks of the class groups Cl(K) and Cl(k). 1. A Short History of Reflection Theorems Results
Musical Actions of Dihedral Groups
"... of group structures can influence how we see a crystal, perhaps it can influence how we hear music as well. In this article we explore how music may be interpreted in terms of the group structure of the dihedral group of order 24 and its centralizer by explaining two musical actions. 1 The dihedral ..."
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of group structures can influence how we see a crystal, perhaps it can influence how we hear music as well. In this article we explore how music may be interpreted in terms of the group structure of the dihedral group of order 24 and its centralizer by explaining two musical actions. 1 The dihedral
Limits of dihedral groups
, 2008
"... 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. 1 ..."
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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. 1
SPRINGER CORRESPONDENCES FOR DIHEDRAL GROUPS
, 2008
"... Recent work by a number of people has shown that complex reflection groups give rise to many representationtheoretic structures (e.g., generic degrees and families of characters), as though they were Weyl groups of algebraic groups. Conjecturally, these structures are actually describing the repres ..."
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the representation theory of asyet undescribed objects called spetses, of which reductive algebraic groups ought to be a special case. In this paper, we carry out the Lusztig–Shoji algorithm for calculating Green functions for the dihedral groups. With a suitable setup, the output of this algorithm turns out
Results 11  20
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1,952