  LC-loops, RC-loops and C-loops are collectively called central loops. It is
shown that an LC(RC)-loop is a left(right) universal loop. But an LC(RC)-loop
is a universal loop if and only if it is a right(left) universal loop. It is
observed that not all RC-loops or LC-loops or C-loops are universal loops. But
if an RC-loop(LC-loop, C-loop) is universal, then it is a right Bol loop(left
Bol loop, Moufang loop) respectively. If a loop and its right or left isotope
are commutative then the loop is a C-loop if and only if its right or left
isotope is a C-loop. If a C-loop is central square and its right or left
isotope is an alternative central square loop, then the latter is a C-loop.
Necessary and sufficient condition for an LC-loop(RC-loop) to be a
left(right)G-loop is established. Consequently, necessary and sufficient
conditions for an LC-loop, and an RC-loop to be a G-loop are established. A
necessary and sufficient condition for a C-loop to be a G-loop is established.
