۱-Designs Constructed from the Groups PSL_{۲}(۸۱) and PSL_{۲}(۸۹)
عنوان مقاله: ۱-Designs Constructed from the Groups PSL_{۲}(۸۱) and PSL_{۲}(۸۹)
شناسه ملی مقاله: JR_KJMMRC-11-2_001
منتشر شده در در سال 1401
شناسه ملی مقاله: JR_KJMMRC-11-2_001
منتشر شده در در سال 1401
مشخصات نویسندگان مقاله:
Reza Kahkeshani - Department of Pure Mathematics, Faculty of Mathematical Sciences, University of Kashan, Kashan, Iran.
خلاصه مقاله:
Reza Kahkeshani - Department of Pure Mathematics, Faculty of Mathematical Sciences, University of Kashan, Kashan, Iran.
In this paper, some designs from the primitive permutation representations of the groups PSL_۲(۸۱) and PSL_۲(۸۹) are constructed using the Key-Moori Method ۱. We determine the automorphism groups of all the obtained designs and prove that the groups PSL_۲(۸۱), PSL_۲(۸۱){}^{.}۲, PSL_۲(۸۱)\text{:}۲, PGL_۲(۸۱), P\Sigma L_۲(۸۱), P\Gamma L_۲(۸۱), PSL_۲(۸۹) and PSL_۲(۸۹)\text{:}۲ appear as the automorphism groups of these constructed designs.
کلمات کلیدی: design, group action, automorphism group, projective special linear group
صفحه اختصاصی مقاله و دریافت فایل کامل: https://civilica.com/doc/1458717/