Growth functions for bases of commutator subgroups

Watson, Michael (2016) Growth functions for bases of commutator subgroups. Masters thesis, Memorial University of Newfoundland.

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In this paper, we compare growth functions of different bases of commutator subgroups of free groups. Of the bases that we consider, the geodesic Schreier basis appears to be the fastest. In connection with groups, we consider a basis for the free Lie commutator subalgebra. In contrast with groups, the growth of a basis for a free Lie algebra does not depend on the choice of basis.

Item Type: Thesis (Masters)
Item ID: 12457
Additional Information: Includes bibliographical references (page 47).
Keywords: free group, commutator subgroup, growth function, lie algebra
Department(s): Science, Faculty of > Mathematics and Statistics
Date: September 2016
Date Type: Submission
Library of Congress Subject Heading: Group theory; Free groups; Lie algebras; Commutators (Operator theory)

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