Gruzdev, Valentin (2014) Relative growth rate of subgroups of free groups. Masters thesis, Memorial University of Newfoundland.
- Accepted Version
Available under License - The author retains copyright ownership and moral rights in this thesis. Neither the thesis nor substantial extracts from it may be printed or otherwise reproduced without the author's permission.
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)|
|Additional Information:||Includes bibliographical references (pages 54-56).|
|Department(s):||Science, Faculty of > Mathematics and Statistics|
|Library of Congress Subject Heading:||Free groups; Subgroup growth (Mathematics); Finite groups; Combinatorial group theory|
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