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...     

Finite Groups with Weakly Subnormal and Partially Subnormal Subgroups

Siberian Mathematical Journal - We study the influence of weakly subnormal and partially subnormal subgroups on the structure of a group  $ G $ . In particular, we prove that a...     

Finite Groups with Subnormal Residuals of Sylow Normalizers

Siberian Mathematical Journal - Considering a nonempty formation $ {\mathfrak{X}} $ of nilpotent groups, we prove that a group $ G $ is an extension of a nilpotent group by an $...     

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  $...     

The Root-Class Residuality of the Fundamental Groups of Graphs of Groups

Siberian Mathematical Journal - Consider a class  $ \mathcal{C} $ of groups containing at least one nontrivial group and closed under subgroups, extensions, and Cartesian...     

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...     

The Root-Class Residuality of the Fundamental Groups of Certain Graphs of Groups with Central Edge Subgroups

Siberian Mathematical Journal - Consider a class  $ {\mathcal{C}} $ of groups which contains at least one nontrivial group and is closed under subgroups, extensions, and...     

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...     

Radon Transform on Sobolev Spaces

Siberian Mathematical Journal - The Radon transform  $ R $ maps a function  $ f $ on  $ {??}^{n} $ to the family of the integrals of  $ f $ over...     

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...     

On Possible Estimates of the Rate of Pointwise Convergence in the Birkhoff Ergodic Theorem

Siberian Mathematical Journal - We study the separation from zero of a sequence  $ \phi $ to obtain the estimates of the form $ {\phi(n)/n} $ for the rate of pointwise convergence...     

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 $ ....     

On Partially Commutative Groups and the Relevant Algebras with Commutation

Siberian Mathematical Journal - We consider the algebra $ G_{\circ} $ with commutation on the set of the elements of a partially commutative metabelian group  $ G $ . Under study is the...     

Composition Factors of the Finite Groups Isospectral to Simple Classical Groups

Siberian Mathematical Journal - Isospectral are the groups with coinciding sets of element orders. We prove that no finite group isospectral to a finite simple classical group has the...     

Cyclotomic Quotients of Two Conjugates of an Algebraic Number

Siberian Mathematical Journal - Let $ \alpha $ be an algebraic number of degree $ d\geq 2 $ . We consider the set $ E(\alpha) $ of positive integers  $ n $ such that the primitive $ n $ th...     

Right Alternative Unital Bimodules over the Matrix Algebras of Order $ \geq 3 $

Siberian Mathematical Journal - We address the unital right alternative bimodules over the matrix algebras  $ {\mathrm{M}}_{n}(\Phi) $ of order $ n\geq 3 $ , prove that each of these...     

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...     

Essentially Invertible Measurable Operators Affiliated to a Semifinite von Neumann Algebra and Commutators

Siberian Mathematical Journal - Suppose that a von Neumann operator algebra  $ {\mathcal{M}} $ acts on a Hilbert space  $ {\mathcal{H}} $ and $ \tau $...     

具有弱$s$-置换嵌入子群的有限群

Let P be a Sylow p-subgroup of a group G with the smallest generator number d,where p is a prime.Denote by M_d(P) = {P_1,P_(2,...,)P_d} a set of maximal subgroups of P such that φ(P) = ∩_(n=1)~dP_n.In this paper,we investigate the structure of a finite group G under the assumption that the maximal subgroups in M_d(P) are weakly s-permutably embedded in G,some interesting results are obtained which generalize some recent results.Finally,we give some further results in terms of weakly s-permutably embedded subgroups.