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...     

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 $...     

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 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  $...     

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...     

Heights of Minor Faces in 3-Polytopes

Siberian Mathematical Journal - Each 3-polytope has obviously a face  $ f $ of degree $ d(f) $ at most 5 which is called minor. The height $ h(f) $ of $ f $ is...     

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 $...     

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...     

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 the Sharp Baer–Suzuki Theorem for the $ \pi $ -Radical: Sporadic Groups

Siberian Mathematical Journal - Let  $ \pi $ be a proper subset of the set of all primes and $ {|\pi|\geq 2} $ . Denote the smallest prime not in  $ \pi $ by  $...     

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...     

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 ...     

A Dedekind Criterion over Valued Fields

Siberian Mathematical Journal - Let $ (K,\nu) $ be an arbitrary-rank valued field, let  $ R_{\nu} $ be the valuation ring of  $ (K,\nu) $ , and let  $ K(\alpha)/K $ be...     

On the Right-Symmetric Algebras with a Unital Matrix Subalgebra

Siberian Mathematical Journal - Under study are the right-symmetric algebras over a field  $ F $ which possess a “unital” matrix subalgebra  $...     

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}} $ ,...