Results 1 to 10 of about 590 (97)
Elementary Abelian 2-subgroups in an Autotopism Group of a Semifield Projective Plane
Известия Иркутского государственного университета: Серия "Математика", 2020 Elementary Abelian 2-subgroups in an Autotopism Group of a Semifield Projective Plane} We investigate the hypotheses on a solvability of the full collineation group for non-Desarguesian semifield projective plane of a finite order (the question 11.76 in ...
O. V. Kravtsova
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2-elements in an Autotopism Group of a Semifield Projective Plane
Известия Иркутского государственного университета: Серия "Математика", 2022 We investigate the well-known hypothesis of D.R. Hughes that the full collineation group of non-Desarguesian semifield projective plane of a finite order is solvable (the question 11.76 in Kourovka notebook was written down by N.D. Podufalov). The spread
Olga Kravtsova
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Primitive Semifields and Fractional Planes of order q^5 [PDF]
Rendiconti di Matematica e delle Sue Applicazioni, 2010 The dimension of an affine plane π of order n, relative to a subplane π0 of order m, is specified by dim_π0 π = log_m n. The exotic embeddings of a plane in another plane of the “wrong” characteristic, pioneered by H.
Minerva Cordero, Vikram Jha
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Semifields, relative difference sets, and bent functions [PDF]
, 2014 Recently, the interest in semifields has increased due to the discovery of several new families and progress in the classification problem. Commutative semifields play an important role since they are equivalent to certain planar functions (in the case ...
Pott, Alexander +2 more
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On symplectic semifield spreads of PG(5,q2), q odd [PDF]
, 2017 We prove that there exist exactly three non-equivalent symplectic semifield spreads of PG ( 5 , q2), for q2> 2 .38odd, whose associated semifield has center containing Fq.
Marino, Giuseppe, Pepe, Valentina
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Symplectic spreads, planar functions and mutually unbiased bases [PDF]
, 2014 In this paper we give explicit descriptions of complete sets of mutually unbiased bases (MUBs) and orthogonal decompositions of special Lie algebras $sl_n(\mathbb{C})$ obtained from commutative and symplectic semifields, and from some other non-semifield
Abdukhalikov, Kanat
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Cluster algebras of type $A_2^{(1)}$ [PDF]
, 2010 In this paper we study cluster algebras $\myAA$ of type $A_2^{(1)}$. We solve the recurrence relations among the cluster variables (which form a T--system of type $A_2^{(1)}$).
A Buan +22 more
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Cluster ensembles, quantization and the dilogarithm [PDF]
, 2009 Cluster ensemble is a pair of positive spaces (X, A) related by a map p: A -> X. It generalizes cluster algebras of Fomin and Zelevinsky, which are related to the A-space.
Fock, V. V., Goncharov, A. B.
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(2^n,2^n,2^n,1)-relative difference sets and their representations [PDF]
, 2013 We show that every $(2^n,2^n,2^n,1)$-relative difference set $D$ in $\Z_4^n$ relative to $\Z_2^n$ can be represented by a polynomial $f(x)\in \F_{2^n}[x]$, where $f(x+a)+f(x)+xa$ is a permutation for each nonzero $a$.
Zhou, Yue
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Characterization of tropical hemispaces by (P,R)-decompositions [PDF]
, 2013 We consider tropical hemispaces, defined as tropically convex sets whose complements are also tropically convex, and tropical semispaces, defined as maximal tropically convex sets not containing a given point.
Akian +30 more
core +5 more sources