Resumen de Multi-Isomorphism for Quotient Divisible Groups
Abelian groups A, B are called multi-isomorphic if An is isomorphic to Bn for all natural numbers n>1. In a series of papers, K. O'Meara and C. Vinsonhaler have studied this notion for torsion-free groups of finite rank (tffr ). We study multi-isomorphism in the class of quotient divisible (qd) abelian groups. A reduced abelian group G is qd if it contains a finite rank free subgroup F such that G/F is a divisible torsion group. Multi-isomorphism for qd groups shares some properties with those discovered by O'Meara and Vinsonhaler in the tffr case, but also has some interesting differences.
