Speciality:
01.01.06 (Mathematical logic, algebra, and number theory)
E-mail: Website: http://old.math.nsc.ru/~vasand/ Keywords: finite groups and their representations,
groups of Lie type,
linear algebraic groups,
permutation groups,
coherent configurations,
graph and group isomorphism problems.
UDC: 512.542, 512.547, 512.743 MSC: 20Dxx, 20Exx, 20Gxx
Subject:
group theory and applications, algebraic combinatorics, computational complexity
Main publications:
I. Ponomarenko, S. V. Skresanov, A. V. Vasil'ev, “Closures of permutation groups with restricted nonabelian composition factors”, Bull. Math. Sci., 15:2 (2025), 2550012 (26 pages)
A. V. Vasil'ev and P.-H. Zieschang, “Solvable hypergroups and a generalization of Hall's theorems on finite solvable groups to association schemes”, J. Algebra, 594 (2022), 733–750
I. Ponomarenko and A. Vasil'ev, “Two-closures of supersolvable permutation groups in polynomial time”, Comput. Complexity, 29:1 (2020), Paper No. 5, 33 pp
E. K. Brusyanskaya, A. A. Klyachko A.A., and A. V. Vasil'ev, “What do Frobenius's, Solomon's, and Iwasaki's theorems on divisibility in groups have in common?”, Pacific J. Math., 302:2 (2019), 437–452
A. V. Vasil'ev, “On finite groups isospectral to simple classical groups”, J. Algebra, 423 (2015), 318-374
M. A. Grechkoseeva and A. V. Vasilev, “On the structure of finite groups isospectral to finite simple groups”, J. Group Theory, 18:5 (2015), 741–759
A. V. Vasil'ev, M. A. Grechkoseeva, V. D. Mazurov, “Characterization of the finite simple groups by spectrum and order”, Algebra and Logic, 48:6 (2009), 385–409
A. V. Vasil'ev, “On connection between the structure of a finite group and the properties of Its prime graph”, Siberian Math. J., 46:3 (2005), 396–404
A. V. Vasil'ev, “Minimal permutation representations of finite simple exceptional groups of twisted type”, Algebra and Logic, 37:1 (1998), 9–20
A. V. Vasil'ev, V. D. Mazurov, “Minimal permutation representations of finite simple orthogonal groups”, Algebra and Logic, 33:6 (1995), 337–350
