Fixed subgroups are not compressed in direct products of surface groups

DOI10.1007/s11401-024-0035-3MaRDI QIDQ6632211

Fanling Gu, Jian-chun Wu, Qiang Zhang

Publication date: 4 November 2024

Published in: Chinese Annals of Mathematics. Series B (Search for Journal in Brave)

zbMATH Keywords

free groupcompressioninertiasurface groupdirect productfixed subgroup

Mathematics Subject Classification ID

Geometric group theory (20F65) Topological methods in group theory (57M07) Hyperbolic groups and nonpositively curved groups (20F67)

Cites Work

• Unnamed Item
• Bounds for fixed points and fixed subgroups on surfaces and graphs
• Train tracks and automorphisms of free groups
• Untersuchungen zur Topologie der geschlossenen zweiseitigen Flächen. II.
• Untersuchungen zur Topologie der geschlossenen zweiseitigen Flächen.
• The commutator subgroups of free groups and surface groups
• Fixed subgroups are compressed in surface groups
• Fixed Subgroups are Compressed in Free Groups
• The Group Fixed by a Family of Injective Endomorphisms of a Free Group
• The Hanna Neumann conjecture for surface groups
• Fixed subgroups in direct products of surface groups of Euclidean type
• Explicit bounds for fixed subgroups of endomorphisms of free products

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