A New Characterization of Finite $ \sigma $ -Soluble $ P\sigma T $ -Groups

Siberian Mathematical Journal - We prove that  $ G $ is a finite $ \sigma $ -soluble group with transitive $ \sigma $ -permutability if and only if the following hold: (i) $ G $ possesses...     

On the Existence of $ G $ -Permutable Subgroups in Simple Sporadic Groups

Siberian Mathematical Journal - A subgroup $ A $ of a group $ G $ is $ G $ -permutable in  $ G $ if for every subgroup $ B\leq G $ there is $ x\in G $ satisfying $ AB^{x}=B^{x}A $ ....     

Nonlinear Mixed Jordan Triple $ * $ -Derivations on $ * $ -Algebras

Siberian Mathematical Journal - Let $ {\mathcal{A}} $ be a unital $ \ast $ -algebra containing a nontrivial projection. Under some mild conditions on  $ {\mathcal{A}} $ ,...     

Generalized Rickart $ \ast $ -Rings

Siberian Mathematical Journal - As a common generalization of Rickart $ \ast $ -rings and generalized Baer $ \ast $ -rings, we say that a ring  $ R $ with an involution ...     

Locally Finite Groups with Prescribed Structure of Finite Subgroups

Siberian Mathematical Journal - Let  $ {\mathfrak{M}} $ be a set of finite groups. Given a group  $ G $ , denote the set of all subgroups of  $ G $...     

On Finite Groups Factorizable by Weakly Subnormal Subgroups

Siberian Mathematical Journal - Let $ G $ be a group. A subgroup $ H $ is weakly subnormal in  $ G $ if $ H=\langle A,B\rangle $ for some subnormal subgroup  $ A $ and...     

Formulas for Calculating the $ 3j $ -Symbols of the Representations of the Lie Algebra $ {\mathfrak{gl}}_{3} $ for the Gelfand–Tsetlin Bases

Siberian Mathematical Journal - We give a simple explicit formula for an arbitrary $ 3j $ -symbol for the Lie algebra  $ {\mathfrak{gl}}_{3} $ . The symbol is...     

Refinement of the Relations between Mixed Smoothness Moduli in $ L_{1} $ and $ L_{q} $ Metrics

Siberian Mathematical Journal - We refine some relations between the mixed smoothness moduli of fractional orders which are considered in the  $ L_{1} $ and  $ L_{q} $ metrics.     

On the Number of Frequency Hypercubes F $ {}^{n}(4;2,2) $

Siberian Mathematical Journal - A frequency $ n $ -cube F $ {}^{n}(4;2,2) $ is an $ n $ -dimensional $ 4 $ -by-…-by- $ 4 $ array filled by  $ 0 $ s and  $ 1 $ s...     

On Nonconstant Pre-Lie Bimodules over $ M_{2}(F) $

Siberian Mathematical Journal - We describe the unital finite-dimensional simple nonconstant bimodules  $ {\mathcal{W}} $ over the matrix algebra  $ M_{2}(F) $ over...     

Rings over Which Matrices Are Sums of Idempotent and $ q $ -Potent Matrices

Siberian Mathematical Journal - We study the rings over which each square matrix is the sum of an idempotent matrix and a  $ q $ -potent matrix. We also show that if  $ F $ is...     

On $ \sigma $ -Subnormality of Sylow Subgroups in a Finite Group

Siberian Mathematical Journal - Given an arbitrary partition  $ \sigma $ of the set of primes, we give some criteria for the $ \sigma $ -subnormality of a Sylow subgroup of...     

Almost $ \omega $ -Categorical Weakly $ o $ -Minimal Theories of Convexity Rank 1

Siberian Mathematical Journal - Studying the properties of almost $ \omega $ -categorical weakly $ o $ -minimal theories of convexity rank 1, we prove the orthogonality of every family of...     

Intersections of Three Nilpotent Subgroups in a Finite Group

Siberian Mathematical Journal - We complete the proof of the theorem that any nilpotent subgroups  $ A $ , $ B $ , and  $ C $ of a finite group  $ G $ satisfy...     

Representations,Products, and Varieties of $ m $ -Groups

Siberian Mathematical Journal - Under study is the structure of the $ m $ -homomorphic images of $ m $ -subgroups in a Cartesian product of $ m $ -groups which admit a faithful $ m $...     

Central Isotopes of $ (-1,1) $ -Algebras

Siberian Mathematical Journal - We prove that each $ c $ -isotope of a prime nonassociative $ (-1,1) $ -algebra is a $ (-1,1) $ -algebra if and only if the element  $ c $ lies in the...     

Finite Groups with Prescribed $ \Phi $ -Simple Maximal Subgroups

Siberian Mathematical Journal - Given $ r\in\{2,3,5\} $ , we study the structure of finite non- $ r $ -decomposable groups whose every non- $ r $ -decomposable maximal subgroup is a  $...     

New Degree Spectra of Polish Spaces

Siberian Mathematical Journal - The main result is as follows: Fix an arbitrary prime $ q $ . A $ q $ -divisible torsion-free (discrete, countable) abelian group  $ G $ has a  $...     

Locally Finite Periodic Groups Saturated with Finite Simple Orthogonal Groups of Odd Dimension

Siberian Mathematical Journal - Suppose that $ n $ is an odd integer, $ n\geq 5 $ . We prove that a periodic group  $ G $ , saturated with finite simple orthogonal groups  $...     

On Unconditional and Absolute Convergence of the Haar Series in the Metric of $ L^{p}[0,1] $ with $ 0

Grigoryan  M. G. 《Siberian Mathematical Journal》2021,62(4):607-615