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 Andrei Andreevich Markov (on the centenary of his birth) 3 Some classes of random mappings of finite sets, and nonhomogeneous branching processesB. A. Sevast'yanov 9 A formula for the stability radius of a vector $l_\infty$-extremal trajectory problemV. A. Emelichev, V. N. Krichko 14 Solving systems of polynomial equations over Galois–Eisenstein rings with the use of the canonical generating systems of polynomial idealsD. A. Mikhailov, A. A. Nechaev 21 The standard basis of a polynomial ideal over a commutative Artinian chain ringE. V. Gorbatov 52 On the complexity of the realization of Zhegalkin polynomialsR. N. Zabaluev 79 On automorphisms of strongly regular graphs with the parameters $\lambda=1$ and $\mu=2$A. A. Makhnev, I. M. Minakova 95 On new classes of conjugate injectors of finite groupsE. N. Zalesskaya 105 On some systems of generators of symmetric and alternating groups admitting a simple programmed realizationI. G. Shaposhnikov 114 The method of boundary functionals for irregular structuresT. V. Andreeva 121 On the probabilities of large deviations of the Shepp statisticA. M. Kozlov 140 Group codes and their nonassociative generalizationsS. González, E. Couselo, V. T. Markov, A. A. Nechaev 146