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2009, Volume 6  


Research papers
Finite simple groups with narrow prime spectrum
A. V. Zavarnitsin
1
Partitioning sparse plane graphs into two induced subgraphs of small degree
O. V. Borodin, A. O. Ivanova
13
Divergence of the Fourier series of the Weierstrass–Mandelbrot cosine function
K. K. Kazbekov
17
Metabelian Lie $Q$-algebras
E. Yu. Daniyarova
26
Invariant solutions to dynamic of polytropic gas generated by threedimensional Lie subalgebras
E. V. Mamontov
53
Automorphisms of strongly regular graph, in which neighborhoods of vertices are pseudogeometric graphs for $pG_2(4,9)$
N. V. Chuksina
110
Global solvability of the multidimensional equations of compressible non-Newtonian fluids, transport equation and the Orlicz spaces
A. E. Mamontov
120
Overlap-free words and free Burnside semigroup with two generators satisfying $x^2=x^3$.
A. N. Plyushchenko
166
A jump inversion theorem for the semilattices of $\Sigma$-degrees
A. I. Stukachev
182
Estimates of Berry–Esseen type for probabilities of large deviations under violation of Cramér condition
A. I. Sakhanenko
191
Quantum Polya theorem
A. N. Bondarenko, V. A. Dedok
199
Solving the Seidel problem on the volume of hyperbolic tetrahedron
N. V. Abrosimov
211
Spaces of $CD_0$-functions and $CD_0$-sections of Banach bundles
A. E. Gutman, A. V. Koptev
219
Lie rings with a finite cyclic grading in which there are many commuting components
E. I. Khukhro
243
Integral and integro-local theorems for the sums of random variables with semiexponential distribution
A. A. Mogul'skii
251
Temporal logic of linear time frames with inductions axiom
V. F. Yun
312
Ricci curvatures of left invariant Riemannian metrics on five dimensional nilpotent Lie groups
A. G. Kremlyov
326
Probability, logic & learning synthesis: formalizing prediction concept
S. O. Smerdov, E. E. Vityaev
340
Around a conjecture of P. Hall
D. O. Revin
366
Sequential synthesis of time optimal control by a linear system with disturbance
V. M. Aleksandrov
385
Computer system of modules integration for automatic construction and numerical analysis of molecular genetic systems
I. R. Akberdin, F. V. Kazantsev, V. A. Likhoshvai, S. I. Fadeev, I. A. Gainova, V. K. Korolev, A. E. Medvedev
440
On Thompson's Conjecture
A. V. Vasil'ev
457
A new bound on the domination number of connected cubic graphs
A. V. Kostochka, C. Stocker
465
A note on $\sigma(*)$-rings and their extensions
V. K. Bhat, Neetu Kumari
505
On the compactness principle in variable space $L^p$ for periodic composite structures
V. V. Shumilova
526

Short communications
Torsion and curvature for the $6$-commutator
A. Dzhumadil'daev
49
Dynamic quadrangles and isochronous oscillations
V. V. Ivanov
381
A self-similar continuum which is not the attractor of any zipper
A. V. Tetenov, O. Purevdorj
510
On new estimates for distances in analytic function spaces in higher dimension
Romi F. Shamoyan, Olivera R. Mihić
514
Virtual $3$-manifolds
S. V. Matveev
518
On the length of the set of extreme points for self-similar sets in $\mathbb R^2$
A. V. Tetenov
522
On commuting differential operators of rank $2$
A. E. Mironov
533

Reviews
Filippov-Nambu $n$-algebras relevant to physics
N. G. Pletnev
272

Mathematical life
Near and far. A centennial tribute to Frigyes Riesz
Somashekhar (Som) Naimpally
.1
A referee report on the Dr. Sc. dissertation “Problems of calculus of differential forms on Riemannian manifolds” by I. A. Shvedov
N. N. Tarkhanov
.11
 
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