JournalslemVol. 69, No. 3/4pp. 235–260

Free products from spinning and rotating families

  • Mladen Bestvina

    University of Utah, Salt Lake City, USA

  • Ryan Dickmann

    Georgia Tech, Atlanta, USA

  • George Domat

    Rice University, Houston, USA

  • Sanghoon Kwak

    University of Utah, Salt Lake City, USA

  • Priyam Patel

    University of Utah, Salt Lake City, USA

  • Emily Stark

    Wesleyan University, Middletown, USA
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Abstract

The far-reaching work of Dahmani–Guirardel–Osin (2017) and recent work of Clay– Mangahas–Margalit (2021) provide geometric approaches to the study of the normal closure of a subgroup (or a collection of subgroups) in an ambient group . Their work gives conditions under which the normal closure in is a free product. In this paper we unify their results and simplify and significantly shorten the proof of the theorem of Dahmani–Guirardel–Osin (2017).

Cite this article

Mladen Bestvina, Ryan Dickmann, George Domat, Sanghoon Kwak, Priyam Patel, Emily Stark, Free products from spinning and rotating families. Enseign. Math. 69 (2023), no. 3/4, pp. 235–260

DOI 10.4171/LEM/1033