Let G be a finite group, and consider the multiplication tablefor G, i.e., the t
ID: 2937457 • Letter: L
Question
Let G be a finite group, and consider the multiplication tablefor G, i.e., the table that gives the binary operation of G--- Columns * a b c d a | a c b d | R b | c a d b O | W c | b d a c S | d| d b c a Show that every element of G occurs precisely once in each rowof the table and precisely once in each column. Let G be a finite group, and consider the multiplication tablefor G, i.e., the table that gives the binary operation of G--- Columns * a b c d a | a c b d | R b | c a d b O | W c | b d a c S | d| d b c a Show that every element of G occurs precisely once in each rowof the table and precisely once in each column.Explanation / Answer
Given set {a,b,c,d} with respect to the binary operatioon * , as given by the table, do not form a group as there is no identity element.So given property of composition table can't be proved.