A Sampling of Remarkable Groups

DOI10.1007/978-3-030-01978-5zbMath1446.20001OpenAlexW4235600636MaRDI QIDQ4962015

Marianna C. Bonanome, Margaret Dean, Judith Putnam Dean

Publication date: 29 October 2018

Published in: Compact Textbooks in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-030-01978-5

zbMATH Keywords

Cayley graphamenable groupHopfian groupBaumslag-Solitar groupsgrowth of groupsrooted treeGrigorchuk's groupLamplighter group \(\mathsf{L}_{2}\)R. Thomphson's chameleon groups, self-similar group

Mathematics Subject Classification ID

Periodic groups; locally finite groups (20F50) Geometric group theory (20F65) Extensions, wreath products, and other compositions of groups (20E22) Free products of groups, free products with amalgamation, Higman-Neumann-Neumann extensions, and generalizations (20E06) Word problems, other decision problems, connections with logic and automata (group-theoretic aspects) (20F10) Groups acting on trees (20E08) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to group theory (20-01) Groups as automorphisms of other structures (22F50)

Related Items (1)

Dead ends on wreath products and lamplighter groups

Uses Software

• GAP
• AutomGrp
• FR

This page was built for publication: A Sampling of Remarkable Groups