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ON THE LOCAL CASE IN THE ASCHBACHER THEOREM FOR SYMPLECTIC AND ORTHOGONAL GROUPS

期刊: SIBERIAN MATHEMATICAL JOURNAL, 2021; 62 (2)

We consider the subgroups H in a symplectic or orthogonal group over a finite field of odd characteristic such that O-r(H) not equal 1 for some odd pr......

A Separation Property of the Observer-Based Stabilizing Controller for Linear Delay Systems

期刊: SIBERIAN MATHEMATICAL JOURNAL, 2021; 62 (4)

This paper is concerned with the observer-based controller for the stabilization of linear systems with multiple delays. We design a state observer fo......

FINITE GROUPS WITH GENERALIZED SUBNORMAL SCHMIDT SUBGROUPS

期刊: SIBERIAN MATHEMATICAL JOURNAL, 2021; 62 (2)

Given a prime p and a partition sigma = {{p}, {p}'} of the set of all primes, we describe the structure of the nonnilpotent finite groups whose every ......

SOME NOTES ON THE SECOND MAXIMAL SUBGROUPS OF FINITE GROUPS

期刊: SIBERIAN MATHEMATICAL JOURNAL, 2021; 62 (1)

Under study are the arithmetic properties of second maximal subgroups of finite groups. Generally speaking, we investigated the problem by Monakhov [1......

FINITE GROUPS WITH WEAKLY SUBNORMAL AND PARTIALLY SUBNORMAL SUBGROUPS

期刊: SIBERIAN MATHEMATICAL JOURNAL, 2021; 62 (1)

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 grou......

A NEW CHARACTERIZATION OF FINITE sigma-SOLUBLE P sigma T-GROUPS

期刊: SIBERIAN MATHEMATICAL JOURNAL, 2021; 62 (1)

We prove that G is a finite sigma-soluble group with transitive sigma-permutability if and only if the following hold: (i) G possesses a complete Hall......

A STABILITY CRITERION FOR THE SYSTEM OF HIGH-ORDER NEUTRAL DELAY DIFFERENTIAL EQUATIONS

期刊: SIBERIAN MATHEMATICAL JOURNAL, 2020; 61 (6)

We study the delay-dependent stability of linear high-order delay differential systems of neutral type. We firstly derive a bound of the unstable eige......

ON THE STRUCTURE OF CHIEF FACTORS OF FINITE GROUPS WITH M-p-SUPPLEMENTED SUBGROUPS

期刊: SIBERIAN MATHEMATICAL JOURNAL, 2020; 61 (6)

A subgroup K of G is M-p-supplemented in G if there exists a subgroup B of G such that G = KB and TB < G for every maximal subgroup T of K with ver......

ON THE CHARACTERIZATION OF THE CORE OF A pi-PREFRATTINI SUBGROUP OF A FINITE SOLUBLE GROUP

期刊: SIBERIAN MATHEMATICAL JOURNAL, 2019; 60 (1)

Let pi be a set of primes and let H be a pi-prefrattini subgroup of a finite soluble group G. We prove that there exist elements x, y, z is an element......

JIF:0.74

On sigma-Embedded and sigma-n-Embedded Subgroups of Finite Groups

期刊: SIBERIAN MATHEMATICAL JOURNAL, 2019; 60 (3)

Let G be a finite group, and let sigma = {sigma(i) | i I} be a partition of the set of all primes P and sigma(G) = {sigma(i) | sigma(i) (G) empty set}......

JIF:0.74

On Strongly pi-Permutable Subgroups of a Finite Group

期刊: SIBERIAN MATHEMATICAL JOURNAL, 2019; 60 (4)

Let sigma = {sigma(i) | i is an element of I} be some partition of the set of all primes DOUBLE-STRUCK CAPITAL P,let null not equal pi subset of sigma......

JIF:0.74

The Morse-Sard Theorem and Luzin N-Property: A New Synthesis for Smooth and Sobolev Mappings

期刊: SIBERIAN MATHEMATICAL JOURNAL, 2019; 60 (5)

Considering regular mappings of Euclidean spaces, we study the distortion of the Hausdorff dimension of a given set under restrictions on the rank of ......

JIF:0.74

Finite Groups Close to Frobenius Groups

期刊: SIBERIAN MATHEMATICAL JOURNAL, 2019; 60 (5)

We study finite nonsoluble generalized Frobenius groups; i.e., the groups G with a proper nontrivial normal subgroup F such that each coset Fx of prim......

JIF:0.74

Finite Groups with Given Weakly sigma-Permutable Subgroups

期刊: SIBERIAN MATHEMATICAL JOURNAL, 2018; 59 (1)

Let G be a finite group and let sigma = {sigma (i) | i a I} be a partition of the set of all primes P. A set a"i of subgroups of G is said to be a com......

JIF:0.74

On Shemetkov's Theorem About The Complementedness of the Residual

期刊: SIBERIAN MATHEMATICAL JOURNAL, 2018; 59 (2)

A formation F of finite groups is called a GWP-formation if the F-residual of the group generated by two F-subnormal subgroups is the subgroup generat......

JIF:0.74

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