شماره ركورد كنفرانس :
4371
عنوان مقاله :
Some symmetric designs invariant under the small Ree groups
پديدآورندگان :
Moori .J jamshid.moori@nwu.ac.za North-West University , Rodrigues B G Rodrigues@ukzn.ac.za University of KwaZulu-Natal , Saeidi .A saeidi.amin@gmail.com North-West University , Zandi .S seiran.zandi@gmail.com University of KwaZulu-Natal
كليدواژه :
small Ree groups , designs , conjugacy class , maximal subgroup , primitive permutation representation
عنوان كنفرانس :
دهمين كنفرانس ملي نظريه گروه هاي ايران
چكيده فارسي :
A construction of primitive $1$-designs invariant under the action of a finite primitive group is used to determine the parameters of certain symmetric $1$-designs. Using a method referred to as Key-Moori Method $1$, in this paper we construct a number of symmetric $1$-designs from the maximal subgroups of the small Ree groups $^2G_2(q)$.