Results 11 to 20 of about 528 (180)

Small Partial Latin Squares that Cannot be Embedded in a Cayley Table [PDF]

Australas. J Comb., 2015
9 ...
Ian M. Wanless, Bridget S. Webb
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Terwilliger $\mathbb{F}$-algebras of certain Cayley tables

, 2023
Let $\mathbb{F}$ be an arbitrary field. In this paper, we continue studying the Terwilliger algebras of association schemes over $\mathbb{F}$ that were called the Terwilliger $\mathbb{F}$-algebras of association schemes in [8]. We determine the algebraic structures of the Terwilliger $\mathbb{F}$-algebras of the association schemes induced from the ...
Jiang, Yu
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Terwilliger algebras constructed from Cayley tables of finite Bol loops

Journal of Algebraic Combinatorics
We describe the Terwilliger algebras of the four-class Latin-square association schemes arising from Cayley tables of Bol loops. We give some necessary conditions involving Terwilliger algebras for a quasigroup to be a Bol loop.
Curtin, Brian
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Coloring cayley tables of finite groups [PDF]

, 2017
The chromatic number of a latin square L, denoted χ(L), is defined as the minimum number of partial transversals needed to cover all of its cells. It has been conjectured that every latin square L satisfies χ(L) ≤ |L| + 2. If true, this would resolve a longstanding conjecture, commonly attributed to Brualdi, that every latin square has a partial ...
Halasz, Kevin Callanan
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Cayley fibrations in the Bryant-Salamon $Spin(7)$ manifold [PDF]

, 2022
On each complete asymptotically conical $Spin(7)$ manifold constructed by Bryant and Salamon, including the asymptotic cones, we consider a natural family of $SU(2)$ actions preserving the Cayley form.
Trinca, Federico
core   +1 more source

On the Constant-Depth Circuit Complexity of Generating Quasigroups [PDF]

TheoretiCS
We investigate the constant-depth circuit complexity of the Isomorphism Problem, Minimum Generating Set Problem (MGS), and Sub(quasi)group Membership Problem (Membership) for groups and quasigroups (=Latin squares), given as input in terms of their ...
Nathaniel A. Collins, Joshua A. Grochow, Michael Levet, Armin Weiß   +3 more
doaj   +1 more source

Predecessors and successors in random mappings with exchangeable in-degrees [PDF]

, 2013
In this paper we characterise the distributions of the number of predecessors and of the number of successors of a given set of vertices, A, in the random mapping model, TnD^ (see Hansen and Jaworski (2008)), with exchangeable in-degree sequence (D^1,D^2,
Hansen, Jennie Charlotte, Hansen, Jennie C., Jaworski, Jerzy   +2 more
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On the number of transversals in Cayley tables of cyclic groups

Discrete Applied Mathematics, 2010
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Cavenagh, Nicholas J, Wanless, Ian
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Algebras of Binary Isolating Formulas for Homomorphic Product Theories

Известия Иркутского государственного университета: Серия "Математика"
Algebras of distributions of binary isolating and semi-isolating formulas are objects that are derived for a given theory, and they specify the relations between binary formulas of the theory.
D.Yu. Emel’yanov
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Weak Cayley Table Groups

Journal of Algebra, 1999
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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