symmetric 1-designs from psl2(𝑞), for 𝑞 a power of an odd prime
|
|
|
|
|
|
|
|
نویسنده
|
mbaale xavier ,rodrigues bernardo
|
|
منبع
|
transactions on combinatorics - 2021 - دوره : 10 - شماره : 1 - صفحه:43 -61
|
|
چکیده
|
Let g = psl2(𝑞), where q is a power of an odd prime. let 𝑀 be a maximal subgroup of 𝐺. define { |𝑀| |𝑀∩𝑀𝑔| : 𝑔 ∈ 𝐺 } to be the set of orbit lengths of the primitive action of 𝐺 on the conjugates of a maximal subgroup m of 𝐺. by using a method described by key and moori in the literature, we construct all primitive symmetric 1-designs that admit 𝐺 as a permutation group of automorphisms.
|
|
کلیدواژه
|
1-design، symmetric designs، primitive design، projective special linear group
|
|
آدرس
|
university of kwazulu-natal, school of mathematics, statistics and computer science, south africa, university of pretoriauniversity of pretoriahatfield 0028, department of mathematics and applied mathematics, south africa
|
|
پست الکترونیکی
|
bernardo.rodrigues@up.ac.za
|
|
|
|
|
|
|