498 research outputs found

    On various parameters of Zq-simplex codes for an even integer q

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    In this paper, we defined the Zq-linear codes and discussed its various parameters. We constructed Zq-Simplex code and Zq-MacDonald code and found its parameters. We have given a lower and an upper bounds of its covering radius for q is an even integer.The first author would like to gratefully acknowledge the UGC-RGNF[Rajiv Gandhi National Fellowship], New Delhi for providing fellowship The second author was supported by a grant(SR/S4/MS:588/09) for the Department of Science and Technology, New Delh

    On various parameters of Zq-simplex codes for an even integer q

    No full text
    In this paper, we defined the Zq-linear codes and discussed its various parameters. We constructed Zq-Simplex code and Zq-MacDonald code and found its parameters. We have given a lower and an upper bounds of its covering radius for q is an even integer.The first author would like to gratefully acknowledge the UGC-RGNF[Rajiv Gandhi National Fellowship], New Delhi for providing fellowship The second author was supported by a grant(SR/S4/MS:588/09) for the Department of Science and Technology, New Delh

    Invariant constituents and invariant blocks under coprime action

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    AbstractLet A and G be finite groups with (|A|,|G|)=1. We assume that A acts on G via automorphism. Let N be an A-invariant normal subgroup of G. Let ϕ be an A-invariant irreducible Brauer character of N. If A is of prime power order, then the induced Brauer character ϕG contains an A-invariant irreducible constituent; If G/N is p-solvable, then ϕG contains an A-invariant irreducible constituent. Let B be an A-invariant block of G. Then under Glauberman–Isaacs correspondence, the set IrrA(B) is a union of blocks of CG(A), say b1,b2,…,bs. Let Qi be a defect group of bi. Then there is a defect group D of B such that Qi⩽D

    Induction of irreducible modules from normal subgroups

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    http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000184522800001&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=8e1609b174ce4e31116a60747a720701MathematicsSCI(E)0ARTICLE11-626

    Maximum Order of Finite Abelian Subgroups in the Outer Automorphism Group of a Rank n Free Group

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    AbstractLet Fn be a free group of rank n. Denote by OutFn its outer automorphism group, that is, its automorphism group modulo its inner automorphism group. For arbitrary n, by considering group actions on finite connected graphs, we derived the maximum order of finite abelian subgroups in OutFn. Moreover, it is shown that the subgroups reaching this maximum order can be determined up to isomorphisms

    A construction of classifying spaces for p-adic group actions

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    AbstractOne major open problem in geometric topology is the Hilbert–Smith conjecture. A natural approach to this conjecture is to work on classifying spaces of p-adic integers. However, the well-known Milnor's construction of classifying space of p-adic integers is not locally connected, hence will not help to solve the conjecture, and the other known constructions are very complex. The goal of this paper is to give a new construction of classifying spaces for p-adic group actions

    Perturbative calculation of ZqZ_q at the one-loop level using HYP-smeared staggered quarks

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    © Copyright owned by the author(s) under the terms of the Creative Commons.We present matching factors for Zq calculated perturbatively at the one-loop level with improved staggered quarks. We calculate Zq with HYP-smeared staggered quarks and Symanzik-improved gluons using both RI-MOM and RI0-MOM schemes. We compare the results with those obtained using the nonperturbative renormalization (NPR) method.N

    On the Diameter of a Graph Related to p-Regular Conjugacy Classes of Finite Groups

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    http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000089448000015&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=8e1609b174ce4e31116a60747a720701MathematicsSCI(E)14ARTICLE2705-71223

    Etching characteristics for tracks of carbon cluster ions in polycarbonate

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    A series of chemical etching experiments were carried out on polycarbonate foils irradiated by carbon cluster ions with an energy of 0.6 MeV/atom. The bulk etching rate was calculated from weight loss. The transversal etching rate was obtained by using linear fit to the pore diameters under a time sequence. It was found that the transversal etching rate depends on the rate of electronic energy deposition of projectiles. A distinctly irregular pore size distribution was found on the image of etched pores after C-4(+) irradiation and after one hour etching and explained as the contribution of dissociation of the carbon cluster. (C) 2003 Elsevier B.V. All rights reserved.Instruments & InstrumentationNuclear Science & TechnologyPhysics, Atomic, Molecular & ChemicalPhysics, NuclearSCI(E)EI3ARTICLE4621-62621
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