Relative growth rate of subgroups of free groups

Gruzdev, Valentin (2014) Relative growth rate of subgroups of free groups. Masters thesis, Memorial University of Newfoundland.

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Abstract

In this thesis we investigate the following problem: given a free group of a finite rank greater or equal to 2, and its non-cyclic finitely generated subgroup of infinite index, is it true that the relative growth rate of the subgroup is strictly less than the growth rate of the free group itself?

Item Type: Thesis (Masters)
URI: http://research.library.mun.ca/id/eprint/8298
Item ID: 8298
Additional Information: Includes bibliographical references (pages 54-56).
Department(s): Science, Faculty of > Mathematics and Statistics
Date: August 2014
Date Type: Submission
Library of Congress Subject Heading: Free groups; Subgroup growth (Mathematics); Finite groups; Combinatorial group theory

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