Results 101 to 110 of about 72,032 (249)
Strong External Difference Families and Classification of α‐Valuations
Journal of Combinatorial Designs, Volume 33, Issue 9, Page 343-356, September 2025.ABSTRACT One method of constructing ( a 2 + 1 , 2 , a , 1 )‐SEDFs (i.e., strong external difference families) in Z a 2 + 1 makes use of α‐valuations of complete bipartite graphs K a , a. We explore this approach and we provide a classification theorem which shows that all such α‐valuations can be constructed recursively via a sequence of “blow‐up ...
Donald L. Kreher +2 more
wiley +1 more source
Cyclotomy and difference families in elementary abelian groups
Journal of Number Theory, 1972 AbstractBy a (v, k, λ)-difference family in an additive abelian group G of order v, we mean a family (Bi ∣ i ∈ I) of subsets of G, each of cardinality k, and such that among the differences (a − b ∣ a, b ∈ Bi; a ≠ b; i ∈ I) each nonzero g ∈ G occurs λ times. The existence of such a difference family implies the existence of a (v, k, λ)-BIBD with G as a
openaire +2 more sources
Unusual elementary axiomatizations for abelian groups
, 2019 One of the most studied algebraic structures with one operation is the Abelian group, which is defined as a structure whose operation satisfies the associative and commutative properties, has identical element and every element has an inverse element. In this article, we characterize the Abelian groups with other properties and we even reduce it to two
Tafur, Haydee Jiménez +2 more
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Elementary abelian 2-subgroups of compact Lie groups [PDF]
Geometriae Dedicata, 2012 ISSN:1572 ...
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Axion‐Like Interactions and CFT in Topological Matter, Anomaly Sum Rules and the Faraday Effect
Advanced Physics Research, Volume 4, Issue 7, July 2025.This review investigates the connection between chiral anomalies and their manifestation in topological materials, using both perturbative methods based on ordinary quantum field theory and conformal field theory (CFT). It emphasizes the role of CFT in momentum space for parity‐odd correlation functions, and their reconstruction by the inclusion of a ...
Claudio Corianò +4 more
wiley +1 more source
Elementary abelian p-subgroups of algebraic groups [PDF]
Geometriae Dedicata, 1991 Let ~ be an algebraically closed field and let G be a finite-dimensional algebraic group over N which is nearly simple, i.e. the connected component of the identity G O is perfect, C6(G °) = Z(G °) and G°/Z(G °) is simple. We classify maximal elementary abelian p-subgroups of G which consist of semisimple elements, i.e. for all primes p ~ char K.
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On the Terwilliger Algebra of the Group Association Scheme of the Symmetric Group Sym ( 7 )
Journal of Combinatorial Designs, Volume 33, Issue 7, Page 261-274, July 2025.ABSTRACT Terwilliger algebras are finite‐dimensional semisimple algebras that were first introduced by Paul Terwilliger in 1992 in studies of association schemes and distance‐regular graphs. The Terwilliger algebras of the conjugacy class association schemes of the symmetric groups Sym ( n ), for 3 ≤ n ≤ 6, have been studied and completely determined ...
Allen Herman +2 more
wiley +1 more source
physica status solidi (b), Volume 262, Issue 7, July 2025.This work explores the design of Majorana zero modes in InAsP quatum dots within InP nanowires coupled to a p‐type superconductor. Using atomistic calculations, exact diagonalization, and the variational quantum eigensolver (VQE) method, a variational ansatz for capturing ground state in the topological phase is introduced.
Mahan Mohseni +7 more
wiley +1 more source
Upper ramification jumps in abelian extensions of exponent p
, 2014 In this paper we present a classification of the possible upper ramification jumps for an elementary abelian p-extension of a p-adic field. The fundamental step for the proof of the main result is the computation of the ramification filtration for the ...
Capuano, Laura, Del Corso, Ilaria
core
Canonical Labeling of Latin Squares in Average‐Case Polynomial Time
Random Structures &Algorithms, Volume 66, Issue 4, July 2025.ABSTRACT A Latin square of order n$$ n $$ is an n×n$$ n\times n $$ matrix in which each row and column contains each of n$$ n $$ symbols exactly once. For ε>0$$ \varepsilon >0 $$, we show that with high probability a uniformly random Latin square of order n$$ n $$ has no proper subsquare of order larger than n1/2log1/2+εn$$ {n}^{1/2}{\log}^{1/2 ...
Michael J. Gill +2 more
wiley +1 more source