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arXiv · 2110.10055

The fully compressed subgroup membership problem

Marco Linton
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Abstract

Suppose that $F$ is a free group and $k$ is a natural number. We show that the fully compressed membership problem for $k$-generated subgroups of $F$ is solvable in polynomial time. In order to do this, we adapt the theory of Stallings' foldings to handle edges with compressed labels. This partially answers a question of Markus Lohrey.

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Marco Linton. 2021-10-19. The fully compressed subgroup membership problem. https://arxiv.org/abs/2110.10055

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