Boolean Powers of Groups

John Lawrence
1981 Proceedings of the American Mathematical Society  
A group is ^-separating if a Boolean power of the group has a unique Boolean algebra. It is proved that a finite subdirectly irreducible group is S-separating if and only if it is non-Abelian.
doi:10.2307/2043762 fatcat:6wzn6fmigfdfzoqti4micy2xne