Abstract
We introduce and explore the Baumslag–Solitar groups which is the famous collection of groups first described by G. Baumslag and D. Solitar. This collection, also referred to as BS groups, includes the first examples of finitely generated, one-relator non-hopfian groups. BS groups are widely known and provide many counter-examples and test-cases in combinatorial and geometric group theory.
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Bonanome, M.C., Dean, M.H., Putnam Dean, J. (2018). Baumslag–Solitar Groups. In: A Sampling of Remarkable Groups. Compact Textbooks in Mathematics. Birkhäuser, Cham. https://doi.org/10.1007/978-3-030-01978-5_5
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DOI: https://doi.org/10.1007/978-3-030-01978-5_5
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