reserve G for Group,
  a,b for Element of G,
  m, n for Nat,
  p for Prime;

theorem Th24:
  for G being strict finite Group st G is p-group & expon (G,p) = 0 holds
  G = (1).G
proof
  let G be strict finite Group;
  assume G is p-group & expon (G,p) = 0; then
A1: card G = p |^ 0 by Def2
          .= 1 by NEWTON:4;
  card (1).G = 1 by GROUP_2:69;
  hence thesis by A1,GROUP_2:73;
end;
