Browsing University of Galway Theses (PhD Theses) by Author "Quinlan, Rachel"
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2-Uniform covering groups of elementary Abelian 2-Group
Saleh, Dana (NUI Galway, 2023-04-24)A covering group of an elementary abelian group of order p(n) is a group G of order pn+(n 2 ) consisting of the following data: • G has generators x1, . . . , xn. • The commutator subgroup of G is equal to the centre ... -
Completions of partial matrices
McTigue, James (2015-03-23)A partial matrix over a field is a matrix whose entries are either elements of the field or independent indeterminates. A completion of a partial matrix is any matrix that results from assigning a field element to each ... -
Edge colourings and Latin-like squares: Combinatorial structures arising from alternating sign matrices
O'Brien, Cian (NUI Galway, 2020-04-09)An alternating sign matrix is a (0, 1, −1)-matrix in which the nonzero entries of each row and column alternate in sign, starting and ending with 1. An alternating signed bipartite graph (ASBG) is a bipartite graph G whose ... -
Edge-minimal graphs of exponent 2
O'Mahony, Olga (2017-11-21)A simple undirected finite graph G has the me_2-property if every pair of distinct vertices of G is connected by a path of length 2, but this property does not survive the deletion of an edge. If u and v are adjacent ... -
Features and purposes of mathematical proofs in the view of novice students: observations from proof validation and evaluation performances
Pfeiffer, Kirsten (2010-12-22)This thesis describes a comprehensive exploratory study of the approaches taken by novice students to the validation and evaluation of mathematical proofs. A theoretical framework based on sociocultural learning theories ...