Alexander N. Skiba

ACADEMIC QUALIFICATIONS:

Candidate of Science ( Mathematics  and Physics) (Ph.D.): Mathematics Institute, Academy of Sciences of Belarus, 1981

Doctor of Science (Mathematics and Physics) (Habilitation): Mathematics Institute, Academy of Sciences of Belarus, 1993

Professor (1993)

MEMBER OF EDITORIAL BOARD:

Southeast Asian Bulletin of Mathematics

Mathematics and Mathematical Sciences

Pioneer Journal of Mathematics and Mathematical Sciences

Problems in physics, mathematics, and engineering

Vestnik Novopolozk State University

FIELDS OF INTERESTS:

Finite groups;

Formations and Fitting classes of finite groups;

N-ary groups;

Classes of universal algebras;

Generalized rings.

PRESENT POSITION: Professor, FranciskScorinaGomelStateUniversity

RESEARCH PAPERS:

Have more than 300 research papers in mathematics, including the papers for the last three years:

1  A.N. Skiba,  2012, On the intersection of the F-maximal subgroups and the generalized F–hypercentre of a finite group, J. Algebra,  Vol. 366,386-396. (with W. Guo).

2  A.N. Skiba,  2012, On the  F-hypercentral subgroups of a finite group, J. Algebra,  Vol. 366, 112-125. (with W. Guo).

3  A.N. Skiba,  2012,    Finite groups with subnormal the second  and maximal subgroups,  Matem. Zametki,  Vol. 91, No 5, 730-740 (with Yu,.Luzenko).,

4  A.N. Skiba,  2012,    On the F-hypercentre of a finite group,  Algebra Dickrete Math.,  Vol. 14, No 1, 132-.144.

5   A.N.  Skiba, 2011,  On G-covering subgroup systems of finite groups. Acta Mathematica Hungarica,  vol. 133,  issue 4, . 376 – 386.. (with W. Guo).

6  A.N.  Skiba, 2011,   A characterization of the hypercyclically embedded subgroups of finite groups,  Journal of  Pure and Applied  Algebra,   Vol. 343, 173-182.

7  A.N.  Skiba, 2011,   New criterions of existence and conjugacy of Hall subgroups of finite groups,  Proceedings of  American  Math. Society, Vol. 1392327-2336   (with W. Guo).

8  A.N.  Skiba, 2011,   Cyclicity  conditions for G-chief factors of normal subgroups of a group G, Siberian Math. Journal, Vol. 52 (3), 127-130.

9        A..N.  Skiba, 2011,  On the F-hypercentre and the intersection of all F-maximal  subgroups of a finite group,     Journal of Pure and Applied Algebra,  Vol. 216(4), 689-699

10     .N.  Skiba, 2011,    On factorizations of finite groups with F-hypercentral intersections of the factors,  Journal of Group Theory, Vol. 14, 695–708  (with W. Guo).

 

11     A.N.  Skiba, 2011Finite groups with systems of Σ-embedded subgroups,Science in China Mathematics,  Vol.  54 (9),  1909-1926 (with  Guo).

12    A.N.  Skiba, 2011,    On one generalization of modular subgroups, Ukrainskiy Matem. Zh., Vol. 63 (10), 1314-1325.

13     A.N.  Skiba, 2011,   Laws of partially of the lattices of composition formations, Sibirs. Mat, Zh., Vol.  52, №, 5,  1011–1024 (with  A. A. Tsarev and  N.N. Vorobyev).

14    .  A.N. Skiba, 2010,  On two questions of L.A. Shemetkov concerning hypercyclically embedded subgroups of finite groups,   Journal of Group Theory, Vol. 13, 841-850.

15     A.N. Skiba, 2010, Finite groups with some given systems of Xm-semipermutable subgroups, Mathematischen  Nachrishten,  Vol.283,  1603-1612 (with W. Guo and K.P. Shum).

16     11. A.N. Skiba, 2010,  A criterion for the p-supersolubility of finite groups. Journal of  Algebra and its Applications. Vol. 9 ,   17—26 (with V.O. Lukyanenko).

17      A.N. Skiba, 2010,  On second maximal subgroups of Sylow subgroups of finite groups, Journal Pure and Applied Algebra,  Vol. 15, 705-714 (with A. Ballester-Bolinches and  L.M. Ezquerro).

18       A.N. Skiba, 2010,  On Quasisupersoluble and p-Quasisupersoluble Finite Groups, Algebra Colloquium, Vol.  17( 4),  549-556 (with W. Guo).

19      A.N. Skiba, 2010, Criteria of Existence of  Hall Subgroups in Non-soluble Finite Groups,   Acta Math. Sinica, Engl.  Ser.,  Vol. 26(2), 295-304 556 (with W. Guo).

20    . A.N. Skiba, 2010,  On Lattices of Formations of Finite Groups,  Algebra Colloquium, Vol. 17(4),  557-564  (with L.A. Shemetkov  and  N.N. Vorob’ev).

21    A.N. Skiba, 2009,  On the cФ-hypercentre of finite groups, Journal of Algebra,  Vol. 322, 2106-2117 (with L.A.Shemetkov).

22       A.N. Skiba, 2009, Finite groups with given s-embedded and n-embedded subgroups, Journal of Algebra,  Vol. 321, 2843-2860 (with W. Guo).

23     A.N. Skiba, 2009, On some classes of finite quasi-F-groups, Journal of Group Theory, 12, 407-417 (with W. Guo).

24     A.N. Skiba, 2009, On finite quasi-F-groups, Communication in Algebra, Vol. 37(2), 471-481 (with W. Guo).

25     A.N. Skiba,  2009, The structure of finite  non-nilpotent groups in which every 2-maximal subgroup permutes with all 3-maximal subgroups,Communications in Algebra, 37, 2446-2456 (with W. Guo and H.V. Legchekova).

26      A.N. Skiba, 2009, Local embeddings of some families of subgroups of finite groups, Acta Math. Sinica (Engl. Ser.), 25, №6, 869-882  (with A. Ballester-Bolinches and  L.M. Ezquerro).

27     A.N. Skiba, 2009, Subgroups of finite groups with a strong cover-avoidance property, Bull. Austral Math. Society,  79, 499-506 (with A. Ballester-Bolinches and  L.M. Ezquerro).

28     A.N. Skiba, 2009, On solubility and supersolubility of some classes of finite groups, Science in China. Mathematics, 2009, V. 52, №2, 272-286 (with W. Guo and K.P. Shum)

29      A.N. Skiba, 2009, On laws of lattices of partially saturated formations, Asian-European Journal  Math., 2009, Vol. 2, №1, 155-169 (with L.A. Shemetkov  and  N.N. Vorob’ev).

30     A.N. Skiba, 2009,  On non-nilpotent groups in which every two 3-maximal subgroups are permutable, Siberian Math. J., №6 (with W. Guo and Yu.V. Lucenko).

31      A.N. Skiba, 2009,  Finite groups in which every 3-maximal subgroup permutes with all maximal subgroups, Matem. Zametki, Vol. 86, 350-359 (W.  Guo and H.V. Legchekova).

32      A.N. Skiba, 2009,  Subgroups of finite groups with cover-avoid properties,    Algebra and Discrete  Math.,    Vol 3, 67-75(with A. Ballester-Bolinches and  L.M. Ezquerro).

BOOKS:

 

 1. A. N. Skiba, Formation of Algebraic Systems, Moscow, Nauka, Main Editorial Board for Physical and Mathematical Literature, 1989 (with L.A.Shemetkov).

2   A. N.  Skiba, Algebra of Formations,   Minsk: Belaruskaya Navuka, 1997.

3. A. N. Skiba, Universal Algebras and Lattices, Gomel  State   University: Press. Center, 2003.

Visiting Position:

 

Visiting Professor, University of  Kiel , Germany (April, 1996).

Visiting Professor, YangzhouNormalUniversity, Yangzhou,  P.R. China  (April, 1999).

Visiting Professor,   University of  Bialystok, Poland  (April,  2000).

Visiting Professor, YangzhouNormalUniversity, Yangzhou, P.R. China

(October-November, 2000).

Visiting Professor,   Chinese University of Hong Kong,  Shatin, Hong Kong, P.R. China  (September – October, 2001).

Visiting Professor,    ChineseUniversity of Hong Kong ,  Shatin, Hong Kong, P.R. China  (April-May, 2003).

Visiting Professor,   ChineseUniversity of Hong Kong, Shatin, Hong Kong, P.R. China  ( July-August, 2004).

Visiting Professor, Applied Science PrivateUniversity,  Amman, Jordan (September- October, 2004).

Visiting Professor, XuzhouNormalUniversity, Xuzhou, ,  P.R. China  (October, 2005)

Visiting Professor, University of Valencia, Valencia, Spain (March- April, 2006)

Visiting Professor,   University of Valencia, Valencia, Spain (October, 2007)

Visiting Professor,   University of Valencia, Valencia, Spain (October, 2008).

Visiting Professor, XuzhouNormalUniversity, Xuzhou,   P.R. China  (May, 2008).

Visiting Professor, XuzhouNormalUniversity, Xuzhou,   P.R. China  (November-December, 2009).

Visiting Professor,   University of Science and Technology of China, Hefei, P.R. China (August-October, 2011)

Visiting Professor,   University of Science and Technology of China, Hefei, P.R. China (October-December, 2012)

Ph. D. Students:

1. V. G. Safonov  (Ph. D. Dissertation Title:“Multiply local formations with the given lattice of subformations ”, 1996)

2. J. J. Jaraden  (Ph. D. Dissertation Title: “Classification of p-local formations whose length ≤ 3”, 1996)

3. V. M. Selkin  (Ph. D. Dissertation Title: “Inherit and normal inherit critical local formations”, 1996)

4. V. N. Ryzhik (Ph. D. Dissertation Title: “Partialy local formations with the  given normally hereditary subformations”, 1997)

5. N. G. Zhevnova (Ph. D. Dissertation Title: “ω-Local formations with complemented subformations”, 1997)

6. N. N. Vorob’ev (Ph. D. Dissertation Title: “Fitting classes and formations with the given lattice of subclasses”, 1999)

7. A. F. Al-Dababseh (Ph. D. Dissertation Title: “Modular lattices of classes finite n-ary groups”, 2000)

8. I. N. Safonova (Ph. D. Dissertation Title: “Critical ω-local formations ”, 2000)

9. T. R. Vishnevskaya (Ph. D. Dissertation Title: “Factorizations of p-saturated formations”, 2001)

10. M. I. Yafremova (Ph. D. Dissertation Title: “Subgroup functors and algebraic lattices of the classes of n-ary groups”, 2002)

11. I. P. Shabalina (Ph. D. Dissertation Title: “Modular and algebraic lattices of n-multiply  ω-saturated  formations of finite groups”, 2003)

12. I. V. Bliznets  (Ph. D. Dissertation Title: ”Critical and direct decomposable ω-composition formations”, 2003)

13. I. M. Bliznets (Ph. D. Dissertation Title: ”Elements of the height ≤ 3 of the lattice of ω-saturated  formations”, 2004)

14. N. S. Kosenok (Ph. D. Dissertation Title: ”Finite groups with the given supplements to maximal and generalized maximal subgroups”, 2004)

15. A. Al-Sheihahmad (Ph. D. Dissertation Title: “Finite groups with the given systems of normal and generalized normal subgroups”, 2004)

16. E. A. Zadarazhniuk  (Ph. D. Dissertation Title: “Finite groups with the given minimal subgroups”, 2004)

17. H. V.  Legchekova (Ph. D. Dissertation Title: “Finite groups with the given permutable and generalized permutable  subgroups”, 2005)

18.  O. A.  Titov  (Ph. D. Dissertation Title: “Weak permutable subgroups of finite groups”, 2006)

19. L. I. Buyakevich (Ph. D. Dissertation Title: “Critical t-closed w-composition formations”, 2007)

20. M. V. Zadarazhniuk (Ph. D. Dissertation Title: “Elements of  the height ≤ 3 of the lattice of t-closed ω-composition formations ”, 2008)

21.  N. V.  Guzko (Ph. D. Dissertation Title: “”, 2009)

22.  Yu. V.  Lucenko (Ph. D. Dissertation Title: “Finite groups with generalized permutable second and third maximal subgroups”, 2010)

23.  V. O.  Lukyanenko (Ph. D. Dissertation Title: “Classification of finite  groups by properties of Hall  and the maximal  subgroups”, 2010)

24.  O. V.  Netby (Ph. D. Dissertation Title: “Subgroups of finite groups permutable with some nilpotent subgroups”, 2011)

25. D. P.  Andreeva (Ph. D. Dissertation Title: “Finite groups with subnormal subgroups in short  maximal chairs ”, 2011)

Scientific consultant of Doctor Habilitation Dissertations:

1. V. G. Safonov:Title:“ Algebra of classes of finite groups ”, 2008.

2. V. M. Selkin:Title:“ Factorizations of one-generated formations of finite groups ”, 2012.