Abstract

The theory of infinite multiplication has been studied in the case of the Hawaiian earring group, and has been seen to simplify the description of that group. In this paper we try to extend the theory of infinite multiplication to other groups and give a few examples of how this can be done. In particular, we discuss the theory as applied to symmetric groups and braid groups. We also give an equivalent definition to K. Eda's infinitary product as the fundamental group of a modified wedge product.

Degree

MS

College and Department

Physical and Mathematical Sciences; Mathematics

Rights

http://lib.byu.edu/about/copyright/

Date Submitted

2007-07-13

Document Type

Thesis

Handle

http://hdl.lib.byu.edu/1877/etd1977

Keywords

algebra, topology, analysis, braid groups, symmetric groups, permutation groups

Included in

Mathematics Commons

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