Toma Albu:Divisible groups and an intriguing group isomorphism between the nonzero complex numbers and the unit circle, p.15-21

Bull. Math. Soc. Sci. Math. Roumanie

Toma Albu:Divisible groups and an intriguing group isomorphism between the nonzero complex numbers and the unit circle, p.15-21
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Toma Albu: Divisible groups and an intriguing group isomorphism between the nonzero complex numbers and the unit circle, p. 15-21

Abstract:

An elementary proof of the existence of a (non-canonical) group isomorphism between the groups addressed in the title was given by the author in a previous paper. In this paper we present another proof based on some basic properties of divisible Abelian groups.

Key Words: Group isomorphism, vector space, dimension, divisible group, torsion subgroup, torsion-free group.

2000 Mathematics Subject Classification: Primary: 20K30, Secondary: 20K99.