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 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 $...     

Subnormal semigroups of composition operators

In this article we describe a model for subnormal semigroups of composition operators (with linear fractional symbol) acting on the Hardy space . We also discuss cyclicity of such semigroups in the context of more general results studied by J. H. Shapiro and P. S. Bourdon.

     

子正规矩阵

在A正规前提下．本文给出了M（A，B）子正规的—个充分条件及特殊情况下M（A，B)子正规的—个充要条件。     

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 $...     

Subnormal operators and the Kaplansky density theorem

We show that if S is a pure subnormal operator, then the minimal normal extension can be written as with . We also extend the Kaplansky density theorem by proving that if is a unital -algebra of operators, then every subnormal contraction in is a (SOT) limit of normal contractions in . We prove similar results for subnormal tuples. Received: 26 July 1998 / in final form: 30 March 1999     

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...     

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 $...     

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...     

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...     

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  $...     

Subnormal roots of subnormal operators

Suppose that S is a subnormal operator and that S has a square root. Must S have a subnormal square root? We give two examples which answer this question in the negative.     

Subnormal operators, self-commutators, and pseudocontinuations

We study pure subnormal operators whose self-commutators have zero as an eigenvalue. We show that various questions in this are closely related to questions involving approximation by functions satisfying and to the study ofgeneralized quadrature domains.First some general results are given that apply to all subnormal operators within this class; then we consider characterizing the analytic Toeplitz operators, the Hardy operators and cyclic subnormal operators whose self-commutators have zero as an eigenvalue.     

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...     

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 ...     

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...     

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}} $ ,...     

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...     

Subnormal Embedding Theorems for Groups

Some subnormal embeddings of groups into groups with additionalproperties are established, and in particular, embeddings ofcountable groups into two-generated groups with some extra properties.The results obtained are generalizations of theorems of P. Hall,R. Dark, B. Neumann, H. Neumann and G. Higman on embeddingsof that type. Through the consideration of subnormal embeddingsof finite groups into finite groups with additional properties,a result of H. Heineken and J. Lennox is illustrated.