On cross Parsons numbers

• Main Authors: Ku, Cheng Yeaw, Wong, Kok Bin
• Other Authors: School of Physical and Mathematical Sciences
• Format: Article
• Language: English
• Published: 2021
• Subjects: Science::Mathematics; Parsons Numbers; Parsons Graphs
• Online Access: https://hdl.handle.net/10356/150794
• Institution: Nanyang Technological University

Let Fq be the field of size q and SL(n, q) be the special linear group of order n over the field Fq. Assume that n is an even integer. Let Ai⊆SL(n,q) for i=1,2,…,k and |A1|=|A2|=⋯=|Ak|=l. The set {A1,A2,…,Ak} is called a k-cross (n, q)-Parsons set of size l, if for any pair of (i, j) with i≠j, A−B∈S...