On finite-index extensions of subgroups of free groups

DOI10.1515/JGT.2009.055zbMath1203.20025arXiv0808.2381OpenAlexW2144859006MaRDI QIDQ3565216

Pascal Weil, Pedro V. Silva

Publication date: 2 June 2010

Published in: Journal of Group Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0808.2381

zbMATH Keywords

finitely generated subgroupsfree groupspolynomial-time algorithmscommensuratorslattices of finite-index extensionslattices of finite-index subgroups

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Chains and lattices of subgroups, subnormal subgroups (20E15) Extensions, wreath products, and other compositions of groups (20E22) Free nonabelian groups (20E05) Word problems, other decision problems, connections with logic and automata (group-theoretic aspects) (20F10)

Cites Work

• Topology of finite graphs
• Stallings foldings and subgroups of free groups
• Canonical derivatives, partial derivatives and finite automaton constructions.
• On an algorithm to decide whether a free group is a free factor of another
• MALNORMALITY IS DECIDABLE IN FREE GROUPS