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Finite presentation

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Abstract

This paper surveys basic properties of finite presentation in groups, Lie algebras and rings. It includes some new results and also new, more elementary proofs, of some results that are already in the literature. In particular, we discuss examples of Stallings and of Roos on coherence and a recent theorem of Alahmadi and Alsulami on Morita invariance.

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Authors and Affiliations

  1. Department of Mathematics, University of Wisconsin-Madison, Madison, WI, 53706, USA

    Donald S. Passman

  2. Department of Mathematics, University of California-San Diego, La Jolla, CA, 92093, USA

    Lance W. Small

Authors
  1. Donald S. Passman
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  2. Lance W. Small
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Correspondence to Donald S. Passman.

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Passman, D.S., Small, L.W. Finite presentation. Isr. J. Math. 244, 185–214 (2021). https://doi.org/10.1007/s11856-021-2177-2

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  • DOI: https://doi.org/10.1007/s11856-021-2177-2

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