Free subgroups and decompositions of one-relator products of cyclics. I: The Tits alternative

DOI10.1007/BF01194564zbMath0639.20016MaRDI QIDQ1100277

Frank Levin, Benjamin Fine, Gerhard Rosenberger

Publication date: 1988

Published in: Archiv der Mathematik (Search for Journal in Brave)

zbMATH Keywords

Tits alternativefree productfree subgroupsolvable subgroup of finite indexone relator product of cyclic groups

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Fuchsian groups and their generalizations (group-theoretic aspects) (20H10) Free products of groups, free products with amalgamation, Higman-Neumann-Neumann extensions, and generalizations (20E06)

Related Items (8)

LARGENESS AND SQ-UNIVERSALITY OF CYCLICALLY PRESENTED GROUPS ⋮ Euler characteristic for one-relator products of cyclics ⋮ Cyclically Presented Groups Embedded in One-Relator Products of Cyclic Groups ⋮ On free subgroups of generalized triangle groups ⋮ On the Tits alternative for a class of finitely presented groups with a special focus on symbolic computations ⋮ Free subgroups in groups of small deficiency ⋮ Free subgroups in certain generalized triangle groups of type \((2,m,2)\). ⋮ Finite Generalized Triangle Groups

Cites Work

• Unnamed Item
• A note on generalized triangle groups
• Freeness of the group \(\langle a^n,b^n\rangle\) for some integer \(n,a,b\in SL(2,C)\)
• Free subgroups of groups with a single defining relation
• Generalized triangle groups
• One-Relator Quotients and Free Products of Cyclics
• Ree — Mendelsohn pairs in generalized triangle groups
• Solvable-by-finite subgroups of GL(2, F)
• On Triple Planes (III)

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