On one relator groups and HNN extensions

DOI10.1017/S1446788700014300zbMath0288.20046OpenAlexW2150342111MaRDI QIDQ4776057

James McCool, Paul E. Schupp

Publication date: 1973

Published in: Journal of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s1446788700014300

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Extensions, wreath products, and other compositions of groups (20E22)

Related Items (16)

MALNORMAL SUBGROUPS OF FREE GROUPS ⋮ Fixed points and stable images of endomorphisms for the free group of rank two ⋮ McMullen polynomials and Lipschitz flows for free-by-cyclic groups ⋮ Unnamed Item ⋮ One-relator Kähler groups ⋮ Infinite groups ⋮ Root extraction in one-relator groups and slenderness ⋮ A non-residually solvable hyperlinear one-relator group ⋮ The word problem for one-relation monoids: a survey ⋮ The B B Newman spelling theorem ⋮ A strengthened Freiheitssatz ⋮ Exactness of one relator groups ⋮ On the computability of conjugate powers in finitely generated Fuchsian groups ⋮ Algorithmische Probleme bei Einrelatorgruppen und ihre Komplexität ⋮ New results on the prefix membership problem for one-relator groups ⋮ The Isomorphism Problem for Two-Generator One-Relator Groups with Torsion is Solvable

Cites Work

• Certain subgroups of groups with a single defining relation
• Some results on one-relator groups
• On Britton's Theorem A
• The word problem

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