identification theorem
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2013 ◽  
Vol 227 ◽  
pp. 96-106 ◽  
Author(s):  
J. Gutiérrez García ◽  
S. Romaguera ◽  
M. Sanchis

2013 ◽  
Vol 16 (3) ◽  
Author(s):  
Chris Parker ◽  
Gernot Stroth

Abstract.We identify the sporadic groups M(23) and F


2012 ◽  
Vol 93 (3) ◽  
pp. 277-310 ◽  
Author(s):  
CHRIS PARKER ◽  
GERNOT STROTH

AbstractWe identify the groups ${\text{PSU} }_{6} (2)$, ${\text{PSU} }_{6} (2){: }2$, ${\text{PSU} }_{6} (2){: }3$ and $\text{Aut} ({\text{PSU} }_{6} (2))$ from the structure of the centralizer of an element of order three.


2009 ◽  
Vol 15 (1) ◽  
pp. 70-90 ◽  
Author(s):  
Adrien Deloro

AbstractWe classify actions of groups of finite Morley rank on abelian groups of Morley rank 2: there are essentially two, namely the natural actions of SL(V) and GL(V) with V a vector space of dimension 2. We also prove an identification theorem for the natural module of SL2 in the finite Morley rank category.


2008 ◽  
Vol 319 (1) ◽  
pp. 50-76 ◽  
Author(s):  
Ayşe Berkman ◽  
Alexandre V. Borovik ◽  
Jeffrey Burdges ◽  
Gregory Cherlin

Author(s):  
HIROSHI HASEGAWA

We develop a non-parametric information geometry on finite-dimensional matrix manifolds by using the Fréchet differentiation. Taking the simplest prototype Riemannian metric form [Formula: see text], [Formula: see text] with the Fréchet derivative D on a pair of smooth functions g(ρ) and g*(ρ) of the density matrix ρ, we prove the WYD identification theorem: this metric is identified with the normalized Wigner–Yanase–Dyson skew information (the WYD metric), if and only if the metric form satisfies the monotonicity under every stochastic mapping T on ρ and A: [Formula: see text]. On this basis, we establish (a) a fine structure of the partial order in the set ℱ of all monotone metrics such that ℱ power ∪ℱ WYD forms a linearly ordered subset of ℱ with the same mini-max bound, where ℱ power (the power-mean metrics) interpolates the Bures and the WYD metrics (b) a characterization of the quasi-entropy S (ρ, σ)= Tr F (Δσ, ρ)ρ induced by the metric-characterizing function f WYD (x) of the WYD metric (c) an affine connection on the above metric which is torsionless to guarantee the quantum version of the ±α-connection, provided α∈[-3, 3].


2003 ◽  
Vol 266 (2) ◽  
pp. 375-381 ◽  
Author(s):  
Ayşe Berkman ◽  
Alexandre V. Borovik

1989 ◽  
pp. 59-93
Author(s):  
Mark A. Krasnosel’skiǐ ◽  
Aleksei V. Pokrovskiǐ

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