Is the group $U (8)$ cyclic? - Mathematics Stack Exchange Referring to the group of units My first thought is yes, since $1$ would be the generator Although I think I'm getting confused between the generator and the identity element in this case $1$
abstract algebra - Order of elements - Mathematics Stack Exchange U8= {1,3,5,7} S7 is the symmetric group with the defined permutation Matrix will be something like ((Top Row)0 1 (Bottom Row) b c) where b, c are are Reals) $\endgroup$ – James Bond Commented Apr 7, 2013 at 0:01