EMBEDDING THEOREMS FOR GROUPS PRESENTED VIA PARTIAL AUTOMORPHISMS: A GENERALIZATION OF SEMIDIRECT PRODUCTS AND HNN EXTENSIONS

DOI10.1142/S0218196702000900zbMath1010.20015OpenAlexW2086905372MaRDI QIDQ4786312

Akihiro Yamamura

Publication date: 15 December 2002

Published in: International Journal of Algebra and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218196702000900

zbMATH Keywords

groupoidsvan Kampen diagramspartial automorphismstrace productsinverse semigroup actionsE-unitary coextensions

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Generators, relations, and presentations of groups (20F05) Free products of groups, free products with amalgamation, Higman-Neumann-Neumann extensions, and generalizations (20E06) Inverse semigroups (20M18) Cancellation theory of groups; application of van Kampen diagrams (20F06)

Related Items (1)

A class of inverse monoids acting on ordered forests.

Cites Work

• Presentations of inverse monoids
• On the structure of inverse semigroups
• Inverse Monoids, Trees, and Context-Free Languages
• RATIONAL LANGUAGES AND INVERSE MONOID PRESENTATIONS
• On the theory of inverse semigroups and generalized groups
• HNN EXTENSIONS OF SEMILATTICES
• On Some Lemmas in the Theory of Groups
• Embedding Theorems for Groups

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