Results 11 to 20 of about 413 (140)

Magic Cayley-Sudoku Tables

Mathematics Magazine, 2020
A Cayley-sudoku table of a finite group G is a Cayley table for G, the body of which is partitioned into uniformly sized rectangular blocks in such a way that each group element appears exactly once in each block. A Cayley-sudoku table is pandiagonal magic provided the blocks are square and the "sum" (using the group operation) of elements in every row,
Mersereau, Rosanna, Ward, Michael B.
  +7 more sources

Completing Partial Transversals of Cayley Tables of Abelian Groups [PDF]

The Electronic Journal of Combinatorics, 2021
In 2003 Grüttmüller proved that if $n\geqslant 3$ is odd, then a partial transversal of the Cayley table of $\mathbb{Z}_n$ with length $2$ is completable to a transversal. Additionally, he conjectured that a partial transversal of the Cayley table of $\mathbb{Z}_n$ with length $k$ is completable to a transversal if and only if $n$ is odd and either $n \
Kuhl, Jaromy, McGinn, Donald, Schroeder, Michael William   +2 more
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The Chromatic Number of Finite Group Cayley Tables [PDF]

The Electronic Journal of Combinatorics, 2019
The chromatic number of a latin square $L$, denoted $\chi(L)$, is the minimum number of partial transversals needed to cover all of its cells. It has been conjectured that every latin square satisfies $\chi(L) \leq |L|+2$. If true, this would resolve a longstanding conjecture—commonly attributed to Brualdi—that every latin square has a partial ...
Goddyn, Luis, Halasz, Kevin, Mahmoodian, E. S.   +2 more
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WEAK CAYLEY TABLE GROUPS OF SOME CRYSTALLOGRAPHIC GROUPS [PDF]

Glasgow Mathematical Journal, 2018
AbstractFor a group G, a weak Cayley table isomorphism is a bijection f : G → G such that f(g1g2) is conjugate to f(g1)f(g2) for all g1, g2 ∈ G. The set of all weak Cayley table isomorphisms forms a group (G) that is the group of symmetries of the weak Cayley table of G.
Humphries, Stephen P., Paulsen, Rebeca A.   +1 more
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Weak Cayley Tables

Journal of the London Mathematical Society, 2000
If \(G\) is a finite group and \(\chi\) is a character of \(G\), then the \(2\)-character \(\chi^{(2)}\) is defined by \(\chi^{(2)}(g,h)=\chi(g)\chi(h)-\chi(gh)\). The aim of the paper is to find properties of \(G\) which can be determined by the \(1\)- and \(2\)-characters of the irreducible representations. The authors introduce the weak Cayley table
Johnson, KW, Mattarei, S, Sehgal, SK
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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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Adult Advisor Efficacy to Support LGBTQ+ Youth as a Predictor of LGBTQ+ Youth's Experiences in Gender‐Sexuality Alliances (GSAs) and at School

Journal of Adolescence, EarlyView.
ABSTRACT Introduction Many LGBTQ+ youth seek support from adults at school, which can include advisors of Gender‐Sexuality Alliances (GSAs; clubs affirming LGBTQ+ youth). Little research has considered how efficacious advisors feel to support LGBTQ+ GSA members, or how advisors' efficacy contributes to LGBTQ+ youth's school experiences.
V. Paul Poteat, Arthur Lipkin, Cayley C. Bliss, Jonquil Rumberger, Zhengyang Zhong, Robert A. Marx   +5 more
wiley   +1 more source

Plasmon–Exciton–Driven Modulation of the Electronic and Optical Properties of MoS2 via Cayley Tree Fractal Nanostructures

Journal of Raman Spectroscopy, EarlyView.
This work investigates the change in optical and electronic properties of monolayer MoS2 through the coupling of its excitons and a plasmonic fractal structure. The formation of the heterostructure shows significant enhancement on the edge of the fractal pattern relative to off, owing to the enhanced electric field at the edge of the branches.
Zeiad Saad, Cédric Lambin, Lorena Veliz, François Lagugné‐Labarthet   +3 more
wiley   +1 more source

The development of medical students' professional identities in rural settings: A scoping review

Medical Education, Volume 60, Issue 4, Page 381-398, April 2026.
Abstract Background Major documented disparities exist in health equity between individuals living in rural and metropolitan areas. Recruiting and retaining doctors in rural areas remains a considerable challenge. Students' exposure to rural experiences facilitates their development of professional identities aligned to this specific community of ...
Catherine Garnsey, Brie Turner, Lynn Valerie Monrouxe   +2 more
wiley   +1 more source

Robust Control Design and Analysis Based on Lifting Linearization of Nonlinear Systems Under Uncertain Initial Conditions

International Journal of Robust and Nonlinear Control, Volume 36, Issue 5, Page 3047-3067, 25 March 2026.
ABSTRACT This paper presents a robust control synthesis and analysis framework for nonlinear systems with uncertain initial conditions. First, a deep learning‐based lifting approach is proposed to approximate nonlinear dynamical systems with linear parameter‐varying (LPV) state‐space models in higher‐dimensional spaces while simultaneously ...
Sourav Sinha, Mazen Farhood
wiley   +1 more source