Multi-Isomorphism for Quotient Divisible Groups

• Autores: W.J. Wickless
• Localización: Houston journal of mathematics, ISSN 0362-1588, Vol. 31, Nº 1, 2005, págs. 1-20
• Idioma: inglés
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• Resumen

  • 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.