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:
A. V. Vasil'ev, V. D. Mazurov, “Minimal permutation representations of finite simple orthogonal groups”, Algebra and Logic, 33:6 (1995), 337–350
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, “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, 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 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
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
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
P.-H. Zieschang and A. V. Vasil'ev, “Solvable hypergroups and a generalization of Hall's theorems on finite solvable groups to association schemes”, J. Algebra, 594 (2022), 733–750
