Boolean powers: direct decomposition and isomorphism types
Boolean powers: direct decomposition and isomorphism types
We determine properties of Boolean powers of groups and other algebraic structures, and we generalize JĆ³nssonās theorem on Boolean powers of centerless, directly indecomposable groups. We show that every nonabelian, finitely generated group has <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="2 Superscript normal alef 0"> <mml:semantics> <mml:mrow class="MJX-TeXAtom-ORD"> <mml:msup> <mml:mn>2</mml:mn> <mml:mrow class="MJX-TeXAtom-ORD"> ā¦