Critical Groups Having Central Monoliths of a Nilpotent by Abelian Product Variety of Groups
James J. Woeppel · Transactions of the American Mathematical Society · 1977
Let $\mathfrak {N}$ be a variety of groups which has nilpotency class two and finite odd exponent. Let $\mathfrak {A}$ be an abelian variety of groups with finite exponent relatively prime to the exponent of $\mathfrak {N}$. The existence in the product variety $\mathfrak {N}\mathfrak {A}$ of nonnilpotent critical groups having central monoliths is established. The structure of these critical groups is studied. This structure is shown to depend on an invariant,