Search Results - "Quinlan, Rachel"

Exponent-critical primitive graphs and the Kronecker product by O’Mahony, Olga, Quinlan, Rachel

“…A directed graph is primitive of exponent t if it contains walks of length t between all pairs of vertices, and t is minimal with this property. Moreover, it…”
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Bridges Halifax 2023 by Quinlan, Rachel

“…The Bridges Conference has been running on an annual basis since 1998 and is the foremost international conference dedicated to connections between mathematics…”
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Alternating sign matrices of finite multiplicative order by O'Brien, Cian, Quinlan, Rachel

“…We investigate alternating sign matrices that are not permutation matrices, but have finite order in a general linear group. We classify all such examples of…”
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2-Uniform covering groups of elementary abelian 2-groups by Saleh, Dana, Quinlan, Rachel

“…This article is concerned with the classification of Schur covering groups of the elementary abelian group of order 2 n , up to isomorphism. We consider those…”
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Preface to the Proceedings of the 24th ILAS Conference, Galway, Ireland, June 2022 by Gillis, Nicolas, Quinlan, Rachel, de Seguins Pazzis, Clément, Šmigoc, Helena

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Spaces of matrices without non-zero eigenvalues in their field of definition, and a question of Szechtman by Quinlan, Rachel

“…Let V be a vector space of dimension n over any field F . Extreme values for the possible dimension of a linear subspace of End F ( V ) with a particular…”
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Galois extensions and subspaces of alternating bilinear forms with special rank properties by Gow, Rod, Quinlan, Rachel

“…Let K be a field admitting a cyclic Galois extension of degree n . The main result of this paper is a decomposition theorem for the space of alternating…”
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Galois theory and linear algebra by Gow, Rod, Quinlan, Rachel

“…Let K be a field admitting a Galois extension L of degree n with Galois group G. Artin’s lemma on the independence of characters implies that the algebra of…”
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Partial matrices of constant rank by McTigue, James, Quinlan, Rachel

“…A partial matrix over a field F is a matrix whose entries are either elements of F or independent indeterminates. A completion of a partial matrix is obtained…”
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Partial matrices whose completions all have the same rank by McTigue, James, Quinlan, Rachel

“…A partial matrix over a field F is a matrix whose entries are either elements of F or independent indeterminates. A completion of such a partial matrix is…”
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Partial matrices whose completions have ranks bounded below by McTigue, James, Quinlan, Rachel

“…A partial matrix over a field F is a matrix whose entries are either elements of F or independent indeterminates. A completion of such a partial matrix is…”
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On the maximum rank of completions of entry pattern matrices by Ha Van, Hieu, Quinlan, Rachel

“…In an entry pattern matrix A, all entries are indeterminates but the same indeterminate can appear in numerous positions. For a field F, an F-completion of A…”
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Groups of singular alternating sign matrices by O'Brien, Cian, Quinlan, Rachel

“…We investigate multiplicative groups consisting entirely of singular alternating sign matrices (ASMs), and present several constructions of such groups. It is…”
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Alternating sign matrices of finite multiplicative order by O'Brien, Cian, Quinlan, Rachel

“…We investigate alternating sign matrices that are not permutation matrices, but have finite order in a general linear group. We classify all such examples of…”
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On the vanishing of subspaces of alternating bilinear forms by Gow, Rod, Quinlan, Rachel

“…Given a field F and integer n≥3, we introduce an invariant s n (F) which is defined by examining the vanishing of subspaces of alternating bilinear forms on…”
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On central difference sets in certain non-abelian 2-groups by Gow, Rod, Quinlan, Rachel

“…In this note, we define the class of finite groups of Suzuki type, which are non-abelian groups of exponent 4 and class 2 with special properties. A group G of…”
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Linear diophantine equations in several variables by Quinlan, Rachel, Shau, Moumita, Szechtman, Fernando

“…Let $R$ be a ring and let $(a_1,\dots,a_n)\in R^n$ be a unimodular vector, where $n\geq 2$ and each $a_i$ is in the center of $R$. Consider the linear equation…”
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Alternating Signed Bipartite Graphs and Difference-1 Colourings by O'Brien, Cian, Jennings, Kevin, Quinlan, Rachel

“…We investigate a class of 2-edge coloured bipartite graphs known as alternating signed bipartite graphs (ASBGs) that encode the information in alternating sign…”
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Real elements and real-valued characters of covering groups of elementary abelian 2-groups by Quinlan, R.

“…In Section 2 of this paper, the maximum number of real elements possible in a covering group of C 2 ( n) is determined, and a description of those covering…”
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Hermitian and skew hermitian forms over local rings by Cruickshank, James, Quinlan, Rachel, Szechtman, Fernando

“…We study the classification problem of possibly degenerate hermitian and skew hermitian bilinear forms over local rings where 2 is a unit…”
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