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