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This research demonstrates how algebraic topology methods identify free generators in free groups, highlighting innovative applications in geometric group theory.
This paper explores how algebraic topology can be used in group theory. More precisely, it describes how the operations known as folding and collapsing on colored directed graphs can be used to find a set of free generators of subgroups of free groups. The technique is illustrated with several examples.
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K. Li (2025) studied this question.
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