On the multiplication groups of semifields

We invesitage the multiplicative loops of finite semifields. We show that the group generated by the left and right multiplication maps contains the special linear group. This result solves a BCC18 problem of A. Dr

• Type: Journal
• Year: 2010
• Where: EJC
• Authors: Gábor P. Nagy
• Keywords: EJC 2007, EJC 2010, Multiplicative Loops, Right Multiplication, Special Linear Group