Results 31 to 40 of about 87,109 (183)
Automorphisms of the Dihedral Groups [PDF]
Proceedings of the National Academy of Sciences, 1942 Not ...
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Weak automorphisms of dihedral groups [PDF]
Algebra universalis, 2010 Let \(G\) be a group; a bijective map \(\tau\colon G\to G\) is called a weak automorphism of \(G\) if for every \(n\in\mathbb N\), every \(g_1,g_2,\dots,g_n\in G\) and every \(\alpha_1,\alpha_2,\dots,\alpha_n\in\mathbb Z\) there are \(\beta_1,\beta_2,\dots,\beta_n\in\mathbb Z\) such that \[ \tau(g_1^{\alpha_1}\cdot g_2^{\alpha_2}\cdots g_n^{\alpha_n})=\
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On Dihedralized Gyrogroups and Their Cayley Graphs
Mathematics, 2022 The method of constructing the generalized dihedral group as a semidirect product of an abelian group and the group Z2 of integers modulo 2 is extended to the case of gyrogroups.
Rasimate Maungchang, Teerapong Suksumran
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Critical Groups of Graphs with Dihedral Actions II
, 2016 In this paper we consider the critical group of finite connected graphs which admit harmonic actions by the dihedral group Dn, extending earlier work by the author and Criel Merino.
Glass, Darren B.
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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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Ibn Al-Haitham Journal for Pure and Applied Sciences, 2018 In this paper we used Hosoya polynomial ofgroupgraphs Z1,...,Z26 after representing each group as graph and using Dihedral group to"encrypt the plain texts with the immersion property which provided Hosoya polynomial to immerse the cipher text in
Awni M. Gaftan +2 more
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Reductions of integrable equations: dihedral group [PDF]
Journal of Physics A: Mathematical and General, 2004 17 pages, submitted to Journal of Physics A: Mathematical and ...
Lombardo, S., Mikhailov, A. V.
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THE BRAUER GROUP OF THE DIHEDRAL GROUP [PDF]
Glasgow Mathematical Journal, 2004 Let $p^m$ be a power of a prime number $p$, $\mathbb{Dacute;_{p^m}$ be the dihedral group of order $2p^m$ and $k$ be a field where $p$ is invertible and containing a primitive $2p^m$-th root of unity. The aim of this paper is computing the Brauer group $BM(k,\mathbb{D}_{p^m},R_z)$ of the group Hopf algebra of $\mathbb{D}_{p^m}$ with respect to the ...
CARNOVALE, G., CUADRA, J.
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Universal deformation rings and dihedral defect groups
, 2006 Let k be an algebraically closed field of characteristic 2, and let W be the ring of infinite Witt vectors over k. Suppose G is a finite group, and B is a block of kG with dihedral defect group D which is Morita equivalent to the principal 2-modular ...
Bleher, Frauke M.
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Class groups of dihedral extensions [PDF]
Mathematische Nachrichten, 2005 AbstractLet 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 p‐ranks of the class groups Cl(K) and Cl(k). (© 2005 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)
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