The article is devoted to the scientific and pedagogical activity of the professor V. V. Bludov, whose 70th anniversary is celebrated in Februare 2020.

Sergey Vinokurov, Dr. Sci. (Phys.–Math.), Prof., Irkutsk State University, 1, K. Marx st., Irkutsk, 664003, Russian Federation, tel.: (3952) 200567, e-mail: servin38@gmail.com

Vladimir Panteleyev, Dr. Sci. (Phys.–Math.), Prof., Irkutsk State University, 1, K. Marx st., Irkutsk, 664003, Russian Federation, tel.: (3952) 200567, e-mail: vl.panteleyev@gmail.com

Nikolay Peryazev, Dr. Sci. (Phys.–Math.), Prof., Saint-Petersburg Electrotechnical University ‘LETI’, 5, Professor Popov st., Saint Petersburg, 197375, Russian Federation, tel.:(812)3464487, e-mail: nikolai.baikal@gmail.com

Vinokurov S. F., Panteleyev V. I., Peryazev N. A. To the 70th Anniversary of the Birth of V.V. Bludov. The Bulletin of Irkutsk State University. Series Mathematics, 2020, vol. 32, pp. 124-133. (in Russian) https://doi.org/10.26516/1997-7670.2020.32.124

1. Bludov V.V. An example of an unordered group with strictly isolated identity element. Algebra and Logic, 1972, vol. 11, no. 6, pp. 341-349 (in Russian). https://doi.org/10.1007/BF02284589
2. Bludov V.V., Medvedev N.Ya. On the completion of ordered metabelian groups. Algebra and Logic, 1974, vol. 13, no. 4, pp. 207-209 (in Russian). https://doi.org/10.1007/BF01463137
3. Bludov V.V. Uniquely orderable groups. Algebra and Logic, 1974, vol. 13, no. 6, pp. 343-360 (in Russian). https://doi.org/10.1007/BF01462946
4. Bludov V.V., Kokorin A.I. T-generically ordered groups. Sib. Math. Journal, 1979, vol. 13, no. 6, pp. 868–872 (in Russian). https://doi.org/10.1007/BF00970384
5. Bludov V.V., Kleimenov V.F. Construction of ordered groups with applications. Sib. Math. Journal, 1981, vol. 22, no. 4, pp. 524–531 (in Russian). https://doi.org/10.1007/BF00967756
6. Bludov V.V., Kokorin A.I. Use of computers in solving well-known algebra problems. Cybernetics and Systems Analysis, 1982, vol, 18, no. 6, pp. 819–829 (in Russian). https://doi.org/10.1007/BF01069167
7. Bludov V.V., Kleimenov V.F., Khlamov E.V. Counterexample to a question of A.Yu. Ol’shanskii. Algebra and Logic, 1990, vol. 29, no. 2, pp. 95-96 (in Russian). https://doi.org/10.1007/BF02001354
8. Bludov V.V. File bases in groups. Algebra and Logic, 1995, vol. 34, no. 3, pp. 131-139 (in Russian). https://doi.org/10.1007/BF02341869
9. Bludov V.V. On locally nilpotent groups. Problems of Algebra and Logic, Proc. Inst. of Math. Siberian Branch of RAS, Novosibirsk, 1996, vol. 30, pp. 26-47 (in Russian).
10. Bludov V.V. On free product with amalgamation of right ordered groups. Actual Problems of Modern Mathematics, Novosibirsk, 1996, vol. 2, pp. 30-35 (in Russian).
11. Bludov V.V. On Frobenius groups. Sib. Math. Journal, 1997, vol. 38, no. 6, pp. 1054-1056 (in Russian). https://doi.org/10.1007/BF02675933
12. Bludov V.V. On locally nilpotent groups. Siberian Advances in Mathematics, Allerton Press, Inc., Novosibirsk, 1998, vol. 8, no. 1, pp. 49-89 (in Russian).
13. Bludov V.V. Locally nilpotent groups with the minimal condition on centralizers. Algebra and Logic, 1998, vol. 37, no. 3, pp. 151-156 (in Russian). https://doi.org/10.1007/BF02671585
14. Bludov V.V. On locally nilpotent groups with the minimal condition on centralizers. Groups St Andrews 1997 in Bath, London Math. Soc. LN Series 260, Cambridge. Univ. Press, 1999, pp. 81-84.
15. Bludov V.V. Ordered groups in which every automorphism preserves the order. Ordered Algebraic Structures, Gordon and Breach. Ed. By Holland W.C., 2000, pp. 23-28.
16. Bludov V.V. Group Quasivarieties with Infinitely Many Maximal Subquasivarieties. Algebra and Logic, 2002, vol. 41, no. 1, pp. 1-7 (in Russian). https://doi.org/10.1023/A:1014693216711
17. Bludov V.V. The Axiomatic Rank of the Quasivariety of Orderable Groups Is Infinite. Sib. Math. Journal, 2002, vol. 43, no. 4, pp. 623-625 (in Russian). https://doi.org/10.1023/A:1016316101051
18. Bludov V.V., Glass A.M.W., Rhemtulla A.H. Ordered groups in which all convex jumps are central. J. Korean Math. Soc., 2003, vol. 40, pp. 225-239.
19. Bludov V.V., Lapshina E.S. On Ordering the Groups with Nilpotent Commutant. Sib. Math. Journal, 2003, vol. 44, no. 3, pp. 405–410 (in Russian). https://doi.org/10.1023/A:1023852428807
20. Bludov V.V. On the completion of ordered metabelian groups. Algebra and Logic, 1974, vol. 13, no 4, pp. 207-209 (in Russian). https://doi.org/10.1007/BF01463137
21. Bludov V.V., Glass A.M.W., Rhemtulla A.H. On centrally orderable groups. Journal of Algebra, 2005, vol. 291, pp. 129-143.
22. Bludov V.V. Completion of Linearly Ordered Groups. Algebra and Logic, 2005, vol. 44, no. 6, pp. 664-681.(in Russian) https://doi.org/10.1007/s10469-005-0036-6
23. Bludov V.V., Glass A.M.W. On the variety generated by all nilpotent latticeordered groups. Trans. Amer. Math. Soc., 2006, vol. 358, pp. 5179-5192.
24. Bludov V.V., Gusev B.V. Geometric equivalence of groups. Proc. Steklov Institute of Math., 2007, vol. 257, suppl. 1, pp. S61-S82. https://doi.org/10.1134/S0081543807050045
25. Bludov V.V., Dolbak L.V. On metabelian groups with derived quotient an elementary Abelian 2-group of rank 3. Siberian Electronic Math. Reports, 2007, vol. 4, pp. 361-375.
26. Bludov V.V, Giraudet M., Glass A.M.W., Sabbagh S. Automorphism groups of models of first order theories. Models, Modules and Abelian Groups: In Memory of A.L.S. Corner, W. de Gruyter, Berlin, 2008, pp. 329-332. 
27. Bludov V.V., Kopytov V.M. Extensions of lattice-ordered groups. Algebra and Logic, 2008, vol. 47, no. 5, pp. 297-303 (in Russian). https://doi.org/10.1007/s10469-008-9028-7 
28. Bludov V.V., Glass A.M.W. Conjugacy in lattice-ordered and right ordered groups. J. Group Theory, 2008, vol. 11, pp. 623-633. https://doi.org/10.1515/JGT.2008.038 
29. Bludov V.V., Glass A.M.W. On free products of right ordered groups with amalgamated subgroups. Math. Proc. Cambridge Philosophical Soc., 2009, vol. 146, no. 03, pp. 591-601. https://doi.org/10.1017/S0305004108002144 
30. Bludov V.V., Kopytov V.M., Rhemtulla A.H. Normal relatively convex subgroups of solvable orderable groups. Algebra and Logic, 2009, vol. 48, no. 3, pp. 163-172. https://doi.org/10.1007/s10469-009-9050-4 
31. Bludov V.V. On residually torsion-free-nilpotent groups. J. Group Theory, 2009, vol. 12, no. 4, pp. 579-590. https://doi.org/10.1515/JGT.2008.099 
32. Bludov V.V., Glass A.M.W. Word problems, embeddings, and free products of right-ordered groups with amalgamated subgroups. Proc. London Math. Soc., 2009, vol. 99, pp. 585-608. https://doi.org/10.1112/plms/pdp008 
33. Bludov V.V., Glass A.M.W. Groups and orderings: word problems, embeddings and amalgams (a survey of recent results).The Bulletin of Irkutsk State University. Series Mathematics, 2009, vol. 2, no. 2, pp. 4-19 (in Russian). 
34. Bludov V.V., Droste M., Glass A.M.W. Automorphism groups of totally ordered sets: a retrospective survey. Mathematica Slovaca, 2011, vol. 61, no. 3, pp. 373-388. https://doi.org/10.2478/s12175-011-0018-1 
35. Bludov V.V., Glass A.M.W. Right orders and amalgamation for latticeordered groups. Mathematica Slovaca, 2011, vol. 61, no. 3, pp. 355-372. https://doi.org/10.2478/s12175-011-0017-2 
36. Bludov V.V., Glass A.M.W. A survey of resent results in groups and ordering: word problems, embeddings and amalgamations. Groups St Andrews 2009 in Bath. Eds. Campbell C.M. et al., London Math. Soc. LN Series 387, Cambridge Univ. Press., 2011, vol. 1, pp. 150-160. https://doi.org/10.1017/CBO9780511842467.009 
37. Bludov V.V., Glass A.M.W. A finitely presented orderable group with insoluble word problem. Bull. London Math. Soc., 2012, vol. 44(1), pp. 85-96. https://doi.org/10.1112/blms/bdr070 
38. Bludov V.V., Badmaeva L.E. On the method constructing of orderable soluble groups with finitely many orderings. Izvestiya of Irkutsk State Economics Academy, 2014, no. 6 (98), pp. 152-158 (in Russian). https://doi.org/10.17150/1993-3541.2014.24(6).152-158. 
39. Bludov V.V., Glass A.M.W. Amalgamation bases for the class of lattice-ordered groups. Math. Slovaca, 2014, vol. 64, no. 3, pp. 571-578. https://doi.org/10.2478/s12175-014-0227-5 
40. Bludov V.V., Vinokurov S.F., Panteleev V.I., Peryazev N.A. About scientific and pedagogical activity of A. I. Kokorin. The Bulletin of Irkutsk State University. Series Mathematics, 2019, vol. 29, pp. 138-154 (in Russian). https://doi.org/10.26516/1997-7670.2019.29.138