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On difference sets in high exponent 2-groups (CROSBI ID 190594)

Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija

Mandić, Joško ; Pavčević, Mario Osvin ; Tabak, Kristijan On difference sets in high exponent 2-groups // Journal of algebraic combinatorics, Volume 38 (2013), Issue 4; 785-795

Podaci o odgovornosti

Mandić, Joško ; Pavčević, Mario Osvin ; Tabak, Kristijan

engleski

On difference sets in high exponent 2-groups

We investigate the existence of difference sets in particular 2-groups. Being aware of the famous necessary conditions derived from Turyn’s and Ma’s theorems, we develop a new method to cover necessary conditions for the existence of (2^{; ; ; ; 2d+2}; ; ; ; , 2^{; ; ; ; 2d+1}; ; ; ; − 2^d , 2^{; ; ; ; 2d}; ; ; ; − 2^d ) difference sets, for some large classes of 2-groups.

Difference set ; Norm invariance ; Hadamard group ; Modular 2-group ; Group representation

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Podaci o izdanju

Volume 38 (Issue 4)

2013.

785-795

objavljeno

0925-9899

1572-9192

Povezanost rada

Matematika

Indeksiranost