Results 41 to 50 of about 553,680 (181)
Let $G$ be a finite abelian group of order $n$ and let $\mathcal M_G=(x_{a+b})_{a,b\in G}$ be the Cayley table of $G$. Let $\text{imm}_λ(\mathcal M_G)$ be the immanant of $\mathcal M_G$ with respect to a partition $λ$ and $\mathcal I_λ(G)$ be the number of formally different monomials occurring in $\text{imm}_λ(\mathcal M_G)$ (in particular, we denote ...
Wang, Xuan, Zhang, Hanbin
openaire +2 more sources
Soil Science Society of America Journal, Volume 90, Issue 5, September/October 2026.Abstract This study examined the noble gas inventories of different grain size fractions of lunar soil 61220 as a proxy for solar wind‐implanted volatiles of in situ resource utilization (ISRU) interest (e.g., H2O and noble gases). Sample 61220 is representative of a “dry” highland regolith, comparable to those that may be sampled by missions exploring
M. Nottingham +4 more
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Small Partial Latin Squares that Cannot be Embedded in a Cayley Table [PDF]
, 2017 We answer a question posed by Dénes and Keedwell that is equivalent to the following. For each order n what is the smallest size of a partial latin square that cannot be embedded into the Cayley table of any group of order n?
Wanless, Ian M., Webb, Bridget S.
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Geometric inverse semigroup theory: a note on the Milnor–Schwarz lemma for inverse monoids
Bulletin of the London Mathematical Society, Volume 58, Issue 9, September 2026.Abstract We generalise the Milnor–Schwarz lemma to inverse monoids acting on presheaves of geodesic metric spaces. We provide two proofs of this fact: one only uses elementary techniques, inspired by the arguments for group actions on metric spaces; the other involves a version of the Vietoris–Rips complex, and builds on work of Chung–Martínez–Szakács.
Giorgio Mangioni, Francesco Tesolin
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A Standard Generator/Parity Check Matrix for Codes from the Cayley Tables Due to the Non-associative (123)-Avoiding Patterns of AUNU Numbers [PDF]
Universal Journal of Applied Mathematics, 2016 In this paper, we aim at utilizing the Cayley tables demonstrated by the Authors[1] in the construction of a Generator/Parity check Matrix in standard form for a Code say C Our goal is achieved first by converting the Cayley tables in [1] using Mod2 arithmetic into a Matrix with entries from the binary field.
Ibrahim A.A +4 more
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Fusion of the Parastrophic Matrix and Weak Cayley Table [PDF]
, 2009 The parastrophic matrix and Weak Cayley Tables are matrices that have close ties to the character table. Work by Ken Johnson has shown that fusion of groups induces a relationship between the character tables of the groups.
Perry, Nathan C.
core
Metric spaces with small rough angles and the rectifiability of rough self‐contracted curves
Journal of the London Mathematical Society, Volume 114, Issue 3, September 2026.Abstract The small rough angle (SRA$\operatorname{SRA}$) condition, introduced by Zolotov in arXiv:1804.00234, captures the idea that all angles formed by triples of points in a metric space are small. In the first part of the paper, we develop the theory of metric spaces (X,d)$(X,d)$ satisfying the SRA(α)$\operatorname{SRA}(\alpha)$ condition for some
Estibalitz Durand Cartagena +1 more
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Factorizations in Hecke algebras I: Long‐cycle factorizations and Jucys–Murphy elements
Journal of the London Mathematical Society, Volume 114, Issue 3, September 2026.Abstract Given a permutation, there is a well‐developed literature studying the number of ways one can factor it into a product of other permutations subject to certain conditions. We initiate the analogous theory for the type‐A$A$ Iwahori–Hecke algebra by generalizing the notion of factorization in terms of the Jucys–Murphy elements.
Jose Bastidas +5 more
wiley +1 more source
Consistent Quadratic Phase Formation in 3D Fast Spin Echo Using Frequency‐Modulated RF Pulses
Magnetic Resonance in Medicine, Volume 96, Issue 2, Page 666-681, August 2026.ABSTRACT Purpose Frequency‐modulated (FM) RF pulses achieve broadband excitation with low RF peak power, which is required in MRI with inhomogeneous magnetic fields. However, the quadratic phase generated with FM pulses makes it difficult to use them in fast spin echo (FSE), because even and odd refocused echoes have different spatial phase profiles ...
Naoharu Kobayashi, Michael Garwood
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TAXON, Volume 75, Issue 4, August 2026.Abstract Earlier phylogenetic analyses of the family Thymelaeaceae using combined plastid (matK, rbcL, rps16, trnL‐F) and nuclear (ITS) regions showed that the African‐Malagasy genus Gnidia was extensively polyphyletic in relation to the southern African genera Lachnaea, Passerina and Struthiola, as well as to other Southern Hemisphere genera such as ...
Oluwayemisi D. Olaniyan +4 more
wiley +1 more source