Rational Growth in Torus Bundle Groups
Abstract
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 this result has been extended by the author, Turbo Ho and Mark Pengitore. In this paper, both results are combined into a single proof used in [1], and the result is pushed further into the negative case not covered in earlier works.
Degree
Ph.D.
Advisors
McReynolds, Purdue University.
Subject Area
Mathematics
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