Abstract
This paper is motivated by Ito's paper ((Hokkaido) Math. J. 22 (1993) 373), in which he constructed ( 60 , 2 , 60 , 30 ) -relative difference sets in SL ( 2 , 5 ) . Chen and Li have shown that Alt ( 5 ) , the alternating group of degree 5, has a (30,2,29,14)-relative difference set (see Discrete Math. 256 (2002) 301). These are the only examples of nontrivial relative difference sets in nonsolvable groups known to the author. In this paper, we study relative difference sets in Alt ( 5 ) and show that there exist exactly two nontrivial relative difference sets in Alt ( 5 ) up to equivalence with the aid of a computer.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
