Arranging countably Infinite abelian groups. (English) Zbl 07921350
Summary: An interesting result due to C. St. J. A. Nash-Williams [Proc. Camb. Philos. Soc. 55, 232–238 (1959; Zbl 0089.18401)] can be used to construct enumerations of countably infinite abelian groups using sets of generators. In addition to providing a more accessible proof of this classical result, we compute, for any such group and any collection of generators, the cardinality of the set of such enumerations. These results can also be interpreted in terms of Cayley graphs for groups.
Citations:
Zbl 0089.18401References:
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