Browsing Mathematics (Faculty of) by Subject "group theory"
Now showing items 1-5 of 5
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Algebraic Approaches to State Complexity of Regular Operations
(University of Waterloo, 2019-10-15)The state complexity of operations on regular languages is an active area of research in theoretical computer science. Through connections with algebra, particularly the theory of semigroups and monoids, many problems ... -
Exactness and Noncommutative Convexity
(University of Waterloo, 2022-09-02)This thesis studies two separate topics in connection to operator systems theory: the dynamics of locally compact groups, and noncommutative convex geometry. In Chapter 1 we study exactness of locally compact groups as ... -
A k-Conjugacy Class Problem
(University of Waterloo, 2007-09-07)In any group G, we may extend the definition of the conjugacy class of an element to the conjugacy class of a k-tuple, for a positive integer k. When k = 2, we are forming the conjugacy classes of ordered pairs, when k ... -
The O'Nan-Scott Theorem for Finite Primitive Permutation Groups, and Finite Representability
(University of Waterloo, 2009-08-06)The O'Nan-Scott Theorem classifies finite primitive permutation groups into one of five isomorphism classes. This theorem is very useful for answering questions about finite permutation groups since four out of the five ... -
Recurrence in Algebraic Dynamics
(University of Waterloo, 2020-07-28)The Dynamical Mordell--Lang Conjecture states that if a polynomial orbit has infinite intersection with a closed set in an algebraic variety, then the intersection must occur periodically. Although this problem is unsolved ...