Support enumerators for some permutation groups

AuthorsR. Kahkeshani-M. Yazdani-Moghaddam
Conference TitleThe 6 th International Group Theory Conference
Holding Date of Conference2014-3-12
Event Placeگرگان
PresentationSPEECH
Conference LevelNational Conferences

Abstract

By defining a distance on a permutation group G, we can consider it as a code such that the codewords are the ele-ments of G. The support enumerator QG (x, y) is one of the polynomials related to G. In this paper, we determine the polynomial QG (x, y) for the dihedral group, some alternat-ing groups and some projective special linear groups.