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 Groups defined by periodic paired relationsÈ. B. Vinberg 3 Solution of the support problem for several function classesV. V. Volchkov 13 Outer automorphisms of locally simple Lie algebrasD. V. Zhdanovich 31 Maximal tori of a general Lie algebra of Cartan typeM. I. Kuznetsov 55 Weak solutions of second-order quasilinear parabolic equations with double non-linearityG. I. Laptev 83 On the precise values of $n$-widths for classes defined by cyclic variation diminishing operatorsK. Yu. Osipenko 113 On the classification of the maximal arithmetic subgroups of simply connected groupsA. A. Ryzhikov, V. I. Chernousov 127 Letter to the EditorKim Ann Chi, A. I. Kostrikin 157