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| 1 | Finite groups with systems of Σ-embedded subgroups显示文摘In recent years,a series of papers about cover-avoiding property of subgroups appeared and all the studies were connected with chief factors of a finite group.However,about the cover-avoiding property of subgroups for non-chief factor,there is no study up to now.The purpose of this paper is to build the theory.Let A be a subgroup of a finite group G and Σ:G0≤G1≤…≤Gn some subgroup series of G.Suppose that for each pair(K,H) such that K is a maximal subgroup of H and G i 1 K < H G i for some i,either A ∩ H = A ∩ K or AH = AK.Then we say that A is Σ-embedded in G.In this paper,we study the finite groups with given systems of Σ-embedded subgroups.The basic properties of Σ-embedded subgroups are established and some new characterizations of some classes of finite groups are given and some known results are generalized. | GUO WenBin SKIBA Alexander N | 2011 | Science China Mathematics2011，54，9： | 14 |
| 2 | On solubility and supersolubility of some classes of finite groups显示文摘Let G be a finite group and H a subgroup of G. Then H is said to be S-permutable in G if HP = PH for all Sylow subgroups P of G. Let HsG be the subgroup of H generated by all those subgroups of H which are S-permutable in G. Then we say that H is S-embedded in G if G has a normal subgroup T and an S-permutable subgroup C such that T ∩ H HsG and HT = C. Our main result is the following Theorem A. A group G is supersoluble if and only if for every non-cyclic Sylow subgroup P of the generalized Fitting subgroup F*(G) of G, at least one of the following holds: (1) Every maximal subgroup of P is S-embedded in G. (2) Every cyclic subgroup H of P with prime order or order 4 (if P is a non-abelian 2-group and H Z∞(G)) is S-embedded in G. | SHUM Kar Ping SKIBA Alexander N. | 2009 | Science China Mathematics2009，52，2： | 10 |
| 3 | New characterizations of finite supersoluble groups显示文摘Let A be a subgroup of a group G and X a nonempty subset of G.A is called an X- semipermutable subgroup of G if A has a supplement T in G such that for every subgroup T1 of T there exists an clement x∈X such that ATix=TixA.On the basis of this concept we obtain some new characterizations of finite supersoluble groups. | Alexander N SKIBA | 2008 | Science China Mathematics2008，51，5： | 7 |
| 4 | 有限超可解群的新描述显示文摘设A为群G的一个子群且X为G的一个非空子集.如果A在G内有一个补充T满足对T的任意子群T1存在一个元素x∈X,使得AT1^x=T1^xA,则称A为G的X-半置换子群.在这一概念的基础上得到有限超可解群的一些新描述. | 李保军 Alexander N SKIBA | 2008 | 中国科学(A辑)2008，38，1： | 5 |
| 5 | 关于有限群的X置换子群(英文)显示文摘令A,B是一个群G的两个子群,X是G的一个非空子集,称A与B是X可置换的,如果存在X中的一个元x,使得ABx=BxA.对X置换子群和它们的一些应用进行了综合评述,介绍了一系列相关的重要成果和一些未解决的问题. | 郭文彬 SKIBA Alexander N | 2009 | 徐州师范大学学报(自然科学版)2009，27，2： | 3 |
| 6 | Mitigating nitrous oxide emissions from agricultural soils by precision management显示文摘Nitrous oxide(N2O)emissions make up a significant part of agricultural greenhouse gas emissions.There is an urgent need to identify new approaches to the mitigation of these emissions with emerging technology.In this short review four approaches to precision managements of agricultural systems are described based on examples of work being undertaken in the UK and New Zealand.They offer the opportunity for N2 O mitigation without any reduction in productivity.These approaches depend upon new sensor technology,modeling and spatial information with which to make management decisions and interventions that can both improve agricultural productivity and environmental protection. | Robert M.REES Juliette MAIRE Anna FLORENCE Nicholas COWAN Ute SKIBA Tony van der WEERDEN Xiaotang JU | 2020 | Frontiers of Agricultural Science and Engineering2020，7，1： | 2 |
| 7 | Finite groups whose n-maximal subgroups are σ-subnormal显示文摘Let σ={σi | i ∈ I} be some partition of the set of all primes P. A set H of subgroups of G is said to be a complete Hall σ-set of G if every member ≠ 1 of H is a Hall σi-subgroup of G, for some i ∈ I, and H contains exactly one Hall σi-subgroup of G for every σi ∈σ(G). A subgroup H of G is said to be:σ-permutable or σ-quasinormal in G if G possesses a complete Hall σ-set H such that HAx= AxH for all A ∈ H and x ∈ G:σ-subnormal in G if there is a subgroup chain A = A0≤A1≤···≤ At = G such that either Ai-1■Ai or Ai/(Ai-1)Ai is a finite σi-group for some σi ∈σ for all i = 1,..., t.If Mn < Mn-1 <···< M1 < M0 = G, where Mi is a maximal subgroup of Mi-1, i = 1, 2,..., n, then Mn is said to be an n-maximal subgroup of G. If each n-maximal subgroup of G is σ-subnormal(σ-quasinormal,respectively) in G but, in the case n > 1, some(n-1)-maximal subgroup is not σ-subnormal(not σ-quasinormal,respectively) in G, we write mσ(G)= n(mσq(G)= n, respectively).In this paper, we show that the parameters mσ(G) and mσq(G) make possible to bound the σ-nilpotent length lσ(G)(see below the definitions of the terms employed), the rank r(G) and the number |π(G)| of all distinct primes dividing the order |G| of a finite soluble group G. We also give the conditions under which a finite group is σ-soluble or σ-nilpotent, and describe the structure of a finite soluble group G in the case when mσ(G)=|π(G)|. Some known results are generalized. | Wenbin Guo Alexander N. Skiba | 2019 | Science China Mathematics2019，62，7： | 2 |
| 8 | Formation of methane hazard in longwall coal mines with increasingly higher production capacity显示文摘Increasingly higher hard coal production capacity in Upper Silesian Coal Basin(Poland) in the last two decades led to significant increase of methane hazard occurrence in the workings of exploitation areas.An increase of methane content in the exploited seams and in the surrounding strata, associated with increasing depth of mining, results in higher methane emission into the longwall areas from exploited seams and degassing seams in the mining-induced de-stressed zone. Operational experience gained by the collieries confirms that reducing methane release during longwall operations often requires decreasing operating speed of a shearer in a shift. The paper presents an analysis of the parameters and factors,which have critical influence on the formation of methane hazard in longwall areas with high production capacity. | Krause Eugeniusz Skiba Jacek | 2014 | International Journal of Mining Science and Technology2014，24，3： | 2 |
| 9 | On σ-semipermutable Subgroups of Finite Groups显示文摘 | Wen Bin GUO Alexander N. SKIBA | 2018 | Acta Mathematica Sinica,English Series2018，34，9： | 2 |
| 10 | Diagnostic accuracy of serum biochemical fibrosis markers in children with chronic hepatitis B evaluated by receiver operating characteristics analysis显示文摘AIM: To investigate the diagnostic accuracy of potent serum biochemical fibrosis markers in children with chronic hepatitis B evaluated by receiver operating characteristics (ROC) analysis.METHODS: We determined the serum level of apolipoprotein A-I (APO A-I), haptoglobin (HPT) and a-2macroglobulin (A2M) with an automatic nephelometer in 63 children (age range 4-17 years, mean 10 years)with biopsy-verified chronic HBeAg-positive hepatitis B.Fibrosis stage and inflammation grade were assessed in a blinded fashion according to Batts and Ludwig. We defined mild liver fibrosis as a score ≤2 and advanced fibrosis as a score equal to 3. ROC analysis was used to calculate the power of the assays to detect advanced liver fibrosis (AccuROC, Canada).RESULTS: Serum concentrations of APO A-I, HPT and A2M were not significantly different in patients with chronic hepatitis B compared to controls. However, APO A-I level of 1.19 ng/L had a sensitivity of 85.7% and a specificity of 60.7% (AUC = 0.7117, P = 0.035) to predict advanced fibrosis. All other serum biochemical markers and their combination did not allow a useful prediction.None of these markers was a good predictor of histologic inflammation.CONCLUSION: Apolipoprotein A-I may be a suitable serum marker to predict advanced liver fibrosis in children with chronic hepatitis B. | Dariusz Marek Lebensztejn Elzbieta Skiba Jolanta Tobolczyk Maria Elzbieta Sobaniec-Lotowska Maciej Kaczmarski | 2005 | World Journal of Gastroenterology2005，11，45： | 2 |
| 11 | A generalized CAP-subgroup of a finite group显示文摘Let A be a subgroup of a finite group G. We say that A is a generalized CAP-subgroup of G if for each chief factor H/K of G either A avoids H/K or the following holds:(1) If H/K is non-abelian, then|H :(A ∩H)K | is a p′-number for every p ∈π((A ∩H)K/K);(2) If H/K is a p-group, then |G : NG(K(A ∩H))| is a p-number. In this paper, we use the generalized CAP-subgroup to characterize the structure of finite groups.Some new characterizations of the hypercyclically embedded subgroups of a finite group are obtained and a series of known results are generalized. | GUO WenBin SKIBA Alexander N. YANG NanYing | 2015 | Science China Mathematics2015，58，10： | 2 |
| 12 | Designing coal panels in the conditions of associated methane and spontaneous fire hazards显示文摘An increase in methane,spontaneous fire and bumping hazards in Polish hard coal mines,observed in the last two decades,led to the need to elaborate the tools allowing proper selection of a range of preventive measures to fight them at the stage of designing coal extraction.Designing the production of a coal seams in the conditions of associated methane and spontaneous fires hazards in Polish hard coal mines requires elaboration of the design standards for coal panels in gassy coal seams.This paper presents the guidelines on how to design production in the conditions of associated methane and spontaneous fire hazards.Presented tools and methodology since the very first research were many times verified by daily mining operations in the conditions of associated methane and spontaneous fire hazards,which confirms their significant contribution to the development of safe and economical mining operations. | Stanislaw Prusek Eugeniusz Krause Jacek Skiba | 2020 | International Journal of Mining Science and Technology2020，30，4： | 2 |
| 13 | Enhanced dislocation emission from grain boundaries in nanocrystalline materials显示文摘 | Ovidko I A Skiba N V | 2012 | Scripta Mater2012，67，： | 1 |
| 14 | On the XΦ-hypercentre of finite groups显示文摘 | Shemetkov L A Skiba A N | 2009 | J Algebra2009，322，： | 1 |
| 15 | On weakly s,permutable subgroups of finite groups显示文摘 | SKIBA A N | 2007 | J Algebra2007，315，1： | 1 |
| 16 | On Uc-normal subgroups of finite groups显示文摘 | Alsheik A Y Jaraden J J Skiba A N | 2007 | Algebra Colloquium2007，14，1： | 1 |
| 17 | Development of a new collidal drug carrier from chemicallymodified cyclodextrins :nanospheres, and influence ofphysicochemical and technological factors on particle size显示文摘 | Skiba M Duchene D Puisieux F | 1996 | Int J Pharm1996，129，： | 1 |
| 18 | Conditionally permutable subgroups and supersolubility of finite groups显示文摘 | GUO W SHUM K P SKIBA A | 2005 | Southeast Asian Bulletin of Mathematics2005，29，2： | 1 |
| 19 | The Darkside of Zero Tolerance 显示文摘 | Russ Skiba Reece Peterson | 1999 | Delta Kappa International1999，80，5： | 1 |
| 20 | On Weakly s-Permutable Subgroups of Finite Groups显示文摘 | SKIBA A N | 2007 | J Algebra2007，315，1： | 1 |
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