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.
College and Department
Physical and Mathematical Sciences; Mathematics
BYU ScholarsArchive Citation
Penrod, Keith G., "Infinite Product Group" (2007). Theses and Dissertations. 976.
algebra, topology, analysis, braid groups, symmetric groups, permutation groups