Purdue University Graduate School
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Rational Growth in Torus Bundle Groups

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posted on 2022-07-28, 18:43 authored by Seongjun ChoiSeongjun Choi

Whether the growth series of a group is a rational function is investigated in this paper.Parry showed certain torus bundle groups of even trace exhibits rational growth, and thisresult has been extended by the author, Turbo Ho and Mark Pengitore. In this paper, bothresults are combined into a single proof used in [1], and the result is pushed further into thenegative case not covered in earlier works


Degree Type

  • Doctor of Philosophy


  • Mathematics

Campus location

  • West Lafayette

Advisor/Supervisor/Committee Chair

Thomas Sinclair

Advisor/Supervisor/Committee co-chair

Ben McReynolds

Additional Committee Member 2

Jeremy Miller

Additional Committee Member 3

Sam Nariman