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Information Journal Paper

Title

DIFFERENCE BASES IN DIHEDRAL GROUPS

Pages

  43-50

Abstract

 A subset B of a group G is called a difference basis of G if each element g 2 G can be written as the difference g = ab 􀀀 1 of some elements a; b 2 B. The smallest cardinality jBj of a difference basis B  G is called the difference size of G and is denoted by Δ [G]. The fraction g[G]: = Δ [G]= √ jGj is called the difference characteristic of G. We prove that for every n 2 N the dihedral group D2n of order 2n has the difference characteristic p 2  g[D2n]  p48 586  1: 983. Moreover, if n  2  1015, then g[D2n] < p4 6  1: 633. Also we calculate the difference sizes and characteristics of all dihedral groups of cardinality  80.

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    • Cite

    APA: Copy

    BANAKH, TARAS, & Gavrylkiv, Volodymyr. (2019). DIFFERENCE BASES IN DIHEDRAL GROUPS. INTERNATIONAL JOURNAL OF GROUP THEORY, 8(1), 43-50. SID. https://sid.ir/paper/735196/en

    Vancouver: Copy

    BANAKH TARAS, Gavrylkiv Volodymyr. DIFFERENCE BASES IN DIHEDRAL GROUPS. INTERNATIONAL JOURNAL OF GROUP THEORY[Internet]. 2019;8(1):43-50. Available from: https://sid.ir/paper/735196/en

    IEEE: Copy

    TARAS BANAKH, and Volodymyr Gavrylkiv, “DIFFERENCE BASES IN DIHEDRAL GROUPS,” INTERNATIONAL JOURNAL OF GROUP THEORY, vol. 8, no. 1, pp. 43–50, 2019, [Online]. Available: https://sid.ir/paper/735196/en

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