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Local Embeddings of Some Families of Subgroups of Finite Groups

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Acta Mathematica Sinica,English Series 2009年第6期25卷 869-882页

作者： A.BALLESTER-BOLInCHES Luis M.EZQUERRO alexander n.skiba Departament d'lgebra Universitat de València Departamento Department of Mathematics Gomel State University F.Skorina

In this paper we study the influence of the partial cover and avoidance property on the subgroups of some relevant families of subgroups in a finite group.

关键词： Finite group cover-avoidance property p-supersoluble groups saturated formation

A Generalization of σ-Permutability

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Communications in Mathematics and Statistics 2022年第3期10卷 565-579页

作者： Zhigang Wang Jin Guo Inna n.Safonova alexander n.skiba School of Science Hainan UniversityHaikou 570228HainanPeople’s Republic of China Department of Applied Mathematics and Computer Science Belarusian State University220030 MinskBelarus Department of Mathematics and Technologies of Programming Francisk Skorina Gomel State University246019 GomelBelarus

Throughout this paper,all groups are finite and G always denotes a finite group;σis some partition of the set of all primes P.A group G is said to beσ-primary if G is aπ-group for someπ∈σ.Aπ-semiprojector of G[29]is a subgroup H of G such that Hn/n is a maximalπ-subgroup of G/n for all normal subgroups n of ***П⊆σ.Then we say thatχ={X_(1),...,X_(t)}is aП-covering subgroup system for a subgroup H in G if all members of the setχareσ-primary subgroups of G and for eachπ∈Пwithπ∩π(H)≠φthere are an index i and aπ-semiprojector U of H such that U≤X_(i).We study the embedding properties of subgroups H of G under the hypothesis that G has aП-covering subgroup systemχsuch that H permutes with X^(x)for all X∈χand x∈*** well-known results are generalized.

关键词： Finite group σ-nilpotent group П-semiprojector П-covering subgroup system σ-subnormal subgroup

Finite Groups with H-Permutable Subgroups

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Communications in Mathematics and Statistics 2017年第1期5卷 83-92页

作者： Wenbin Guo Chenchen Cao alexander n.skiba Darya A.Sinitsa Department of Mathematics University of Science and'Technology of ChinaHefei 230026People's Republic of China Department of Mathematics Francisk Skorina Gomel State UniversityGomel 246019Belarus

Letσ={σi|i∈I}be some partition of the set P of all primes and G afinite group.A set H of subgroups of G is said to be a complete Hallσ-set of G ifevery member≠1 of H is a Hallσi-subgroup of G for some i c l and H containsexactly one Hallσi-subgroup of G for every i such thatσi∩π(G)≠Ø.A subgroupA of G is said to be H-permutable if A permutes with all members of the completeHallσ-set H of *** this paper,we study the structure of G under the assuming thatsome subgroups of G areσ-permutable.

关键词： Finite group Hall subgroup Complete Hallσ-set H-permutablesubgroup PST-group

On Boundary Factors and Traces of Subgroups of Finite Groups

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Communications in Mathematics and Statistics 2014年第3期2卷 349-361页

作者： W.Guo alexander n.skiba X.Tang School of Mathematical Sciences University of Science and Technology of ChinaHefei 230026People’s Republic of China Department of Mathematics Francisk Skorina Gomel State University246019 GomelBelarus

A subgroup E of a finite group G is called hypercyclically embedded in G if every chief factor of G below E is *** A be a subgroup of a group *** we call any chief factor H/AG of G a G-boundary factor of *** any G-boundary factor H/AG of A,we call the subgroup(A∩H)/AG of G/AG a G-trace of *** the basis of these notions,we give some new characterizations of hypercyclically embedded subgroups.

关键词： Finite group Hypercyclically embedded subgroup G-boundary factor G-trace of subgroup Meet-irreducible subgroup

Effects of site preparation methods on soil physical properties and outplanting success of coniferous seedlings in boreal forests

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Journal of Forestry Research 2024年第2期35卷 70-80页

作者： Aleksey S.Ilintsev Elena n.nakvasina alexander P.Bogdanov northern Research Institute of Forestry 13 Nikitova Str.Arkhangelsk 163062Russian Federation Department of Silviculture and Forest Management Northern(Arctic)Federal University Named After M.V.LomonosovSevernoy Dviny Emb.17Arkhangelsk 163002Russian Federation

This study assessed the effect of patch scarification and mounding on the physical properties of the root layer and the success of tree planting in various types of *** study was conducted on 12 forest sites in taiga forests of the European part of Russia.A total of 54 plots were set up to assess seedling survival;root collar diameter,height,and heigh increment were measured for 240 seedlings to assess *** the rooting layer,240 soil samples were taken to determine physical *** study showed that soil treatment methods had no effect on bulk density and total porosity in Cladina ***,reduced soil moisture was noted,particularly in mounds,resulting in increased *** Myrtillus sites,there were increased bulk density,reduced soil moisture,and total porosity in the *** treatment in Polytrichum sites resulted in reduced soil moisture and increased aeration *** the Myrtillus and Polytrichum sites,patch scarification had no effects on physical *** Polytrichum sites,survival rates,heights,and heigh increments of bareroot norway spruce seedlings in mounds were higher than in patches;however,the same did not apply to *** Cladina and Myrtillus sites,there was no difference in growth for bareroot and containerised seedlings with different soil *** conditions and soil types should be considered when applying different soil treatment methods to ensure high survival rates and successful seedling growth.

关键词： Boreal forests Mechanical site preparation Patch scarification Mounding Soil properties Containerised seedlings Bareroot seedlings

A Converse Theorem for Split SO_(2l) over Finite Fields

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Acta Mathematica Sinica,English Series 2024年第3期40卷 731-771页

作者： alexander HAZELTInE Bai Ying LIU Department of Mathematics Purdue University150 N.University St.West LafayetteIN 47907USA E-mail:ahazelti@purdue.edu liu2053@purdue.edu

We prove a converse theorem for split even special orthogonal groups over finite *** is the only case left on converse theorems of classical groups and the difficulty is the existence of the outer automorphism. In thi... 详细信息

关键词： Converse theorems generic cuspidal representations even special orthogonal groups

The Effect of a Monatomic Layer on a Surface on the Transition Radiation

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Journal of High Energy Physics, Gravitation and Cosmology 2024年第2期10卷 710-723页

作者： alexander n. Safronov Obukhov Institute of Atmospheric Physics Russian Academy of Sciences Moscow Russia

The transition radiation of a charged particle crossing the interface of two media having a monatomic impurity layer is investigated. It is shown that at sliding angles of incidence of a particle on the boundary of the media, the transition radiation is mainly determined by the properties of the surface layer. The possibility of using transition radiation to study the surface of substances is discussed. In addition, due to the hard radiation present in space, this research may be important for the use of light monoatomic layers as a material for satellite antennas, “solar sails” and cover layers in a future space (interstellar) mission.

关键词： Relativistic Charged Particle Transition Radiation Monatomic Layer Spectral Angular Distribution of Radiation Sliding Angle Investigation of Thin Films Interstellar Mission

Life Origin in the Milky Way Galaxy: I. The Stellar nucleogenesis of Elements necessary for the Life Origin

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Journal of High Energy Physics, Gravitation and Cosmology 2024年第2期10卷 647-680页

作者： alexander n. Safronov Obukhov Institute of Atmospheric Physics Russian Academy of Sciences Moscow Russia

Chemical elements in space can be synthesized by stellar nuclear reactors. Studying the dynamics of processes occurring in the stars introduces a concept of the ensemble-averaged stellar reactor. For future interstellar missions, the terrestrial and solar abundances were compared with considerable number of stars allocated in the ~200 pc solar neighborhood. According to the value of the effective temperature, four stellar classes are distinguished, for which the correlation coefficients and standard deviation are calculated. The statement about the possibility of transferring heavy elements synthesized by stars over long distances in space has been completely refuted. There is no immutability of the distribution of elements on neighboring stars and in the Solar System. It is shown that chemical elements are mainly synthesized inside each stellar reactor. The theory of the buoyancy of elements is generalized to stars. It has been suggested that stars overheat due to a shift in the parameters of nuclear processes occurring inside stars, which leads to the synthesis of heavy elements.

关键词： Stellar nucleogenesis Solar Abundance Ensemble-Averaged Stellar Reactor Stellar Abundance Interstellar Mission Habitability DnA-Star

Life Origin in the Milky Way Galaxy: III. Spatial Distribution of Overheated Stars in the Solar neighborhood

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Journal of High Energy Physics, Gravitation and Cosmology 2024年第2期10卷 693-709页

作者： alexander n. Safronov Obukhov Institute of Atmospheric Physics Russian Academy of Sciences Moscow Russia

A concept of ensemble averaged stellar reactors is developed to study the dynamics of processes occurring in stars, allocated in the ~200 pc solar neighborhood. According to the effective temperature value, four stellar classes are identified, for which the correlation coefficients and standard deviation are counted. The theory of the buoyancy terrestial elements is generalized to stellar systems. It was suggested that stars are over-heated due to the shift parameters of the nuclear processes occurring inside the stars, which leads to the synthesis of transuranium elements until the achievement of a critical nuclear mass and star explosion. The heavy transuranium elements sink downward and are concentrated in the stellar depth layers. The physical explanation of the existence of the critical Chandrasekhar star limit has been offered. Based on the spatial analysis of overheated stars, it was suggested that the withdrawal of the stellar reactor from the equilibrium state is a consequence of extragalactic compression inside the galaxy arm due to the arm spirality (not to be confused with the spirality of the galaxy itself).

关键词： Stellar nucleogenesis Ensemble-Averaged Stellar Reactor Overheated Stars Chandrasekhar Stellar Limit Arm Spirality