GRAY ISOMETRIES FOR FINITE P-GROUPS

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SOBHANI REZA

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Journal: TRANSACTIONS ON COMBINATORICS Year:2013 | Volume:2 | Issue:1 Page(s): 17-26

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Information Journal Paper

Title

GRAY ISOMETRIES FOR FINITE P-GROUPS

Author(s)

SOBHANI REZA | Issue Writer Certificate

Keywords

FINITE GROUPQ2

CODEQ2

GRAY MAPQ2

ISOMETRYQ2

Abstract

We construct two classes of GRAY MAPs, called type-I GRAY MAP and type-II GRAY MAP, for a finite p-group G. Type-I GRAY MAPs are constructed based on the existence of a GRAY MAP for a maximal subgroup H of G. When G is a semidirect product of two finite p-groups H and K, both H and K admit GRAY MAPs and the corresponding homomorphism y: H®Aut (K) is compatible with the GRAY MAP of K in a sense which we will explain, we construct type-II GRAY MAPs for G. Finally, we consider group CODEs over the dihedral group D8 of order 8 given by the set of their generators, and derive a representation and an encoding procedure for such CODEs.

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APA: Copy

SOBHANI, REZA. (2013). GRAY ISOMETRIES FOR FINITE P-GROUPS. TRANSACTIONS ON COMBINATORICS, 2(1), 17-26. SID. https://sid.ir/paper/213742/en

Vancouver: Copy

SOBHANI REZA. GRAY ISOMETRIES FOR FINITE P-GROUPS. TRANSACTIONS ON COMBINATORICS[Internet]. 2013;2(1):17-26. Available from: https://sid.ir/paper/213742/en

IEEE: Copy

REZA SOBHANI, “GRAY ISOMETRIES FOR FINITE P-GROUPS,” TRANSACTIONS ON COMBINATORICS, vol. 2, no. 1, pp. 17–26, 2013, [Online]. Available: https://sid.ir/paper/213742/en

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