Fixed subgroups in direct products of surface groups of Euclidean type

DOI10.1080/00927872.2020.1726939OpenAlexW3008501292MaRDI QIDQ5119298

Qiang Zhang, Enric Ventura Capell, Jian-chun Wu

Publication date: 3 September 2020

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1812.03204

zbMATH Keywords

direct productsfree groupsintersectionssurface groupsfixed subgroupsinertcompressed

Mathematics Subject Classification ID

Geometric group theory (20F65) Topological methods in group theory (57M07) Fundamental groups and their automorphisms (group-theoretic aspects) (20F34)

Related Items (2)

Explicit bounds for fixed subgroups of endomorphisms of free products ⋮ Degrees of compression and inertia for free-abelian times free groups

Cites Work

• The group fixed by a family of endomorphisms of a surface group
• Bounds for fixed points on Seifert manifolds
• Bounds for fixed points and fixed subgroups on surfaces and graphs
• Über einfache Kurven auf Vollbrezeln
• Surface homeomorphisms and periodicity
• Train tracks and automorphisms of free groups
• Fixed subgroups of automorphisms of hyperbolic 3-manifold groups
• The fixed subgroups of homeomorphisms of Seifert manifolds
• Fixed subgroups are compressed in surface groups
• Fixed Subgroups are Compressed in Free Groups
• Supports of derivations, free factorizations, and ranks of fixed subgroups in free groups
• The Group Fixed by a Family of Injective Endomorphisms of a Free Group

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