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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