کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4656136 1343420 2011 15 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Point regular groups of automorphisms of generalised quadrangles
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات گسسته و ترکیبات
پیش نمایش صفحه اول مقاله
Point regular groups of automorphisms of generalised quadrangles
چکیده انگلیسی

We study the point regular groups of automorphisms of some of the known generalised quadrangles. In particular we determine all point regular groups of automorphisms of the thick classical generalised quadrangles. We also construct point regular groups of automorphisms of the generalised quadrangle of order (q−1,q+1) obtained by Payne derivation from the classical symplectic quadrangle W(3,q). For q=pf with f⩾2 we obtain at least two nonisomorphic groups when p⩾5 and at least three nonisomorphic groups when p=2 or 3. Our groups include nonabelian 2-groups, groups of exponent 9 and nonspecial p-groups. We also enumerate all point regular groups of automorphisms of some small generalised quadrangles.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Combinatorial Theory, Series A - Volume 118, Issue 3, April 2011, Pages 1114-1128