Title of article
The combinatorial structure of the Hawaiian earring group
Author/Authors
Cannon، نويسنده , , J.W. and Conner، نويسنده , , G.R.، نويسنده ,
Issue Information
دوماهنامه با شماره پیاپی سال 2000
Pages
47
From page
225
To page
271
Abstract
In this paper we study the combinatorial structure of the Hawaiian earring group, by showing that it can be represented as a group of transfinite words on a countably infinite alphabet exactly analogously to the representation of a finite rank free group as finite words on a finite alphabet. We define a big free group similarly as the group of transfinite words on given set, and study their group theoretic structure.
Keywords
Abelianization , Transfinite words , ?-trees , Specker group , ?-metric , Subgroup , Free subgroups , Commutator , Hawaiian earring
Journal title
Topology and its Applications
Serial Year
2000
Journal title
Topology and its Applications
Record number
1579621
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