Groups with handles of order different from three

We obtain a test for the unsimplicity of an infinite group.Translated from Ukrainskyi Matematychnyi Zhurnal, Vol. 56, No. 8, pp. 1030–1042, August, 2004.     

Evolution of the characteristics of the Prandtl solution

We transform the well-known Prandtl solution using point symmetries. This yields a new class of exact solutions to the plasticity equations. We dwell on those solutions that can be used to describe the flat flows arising as a plastic layer is compressed by the rigid plates.     

On a new class of infinite groups

The present paper is devoted to the study of properties of a new class of -groups. The class of layer-finite groups is characterized with an accuracy to within this class.Published in Ukrainskii Matematicheskii Zhurnal, Vol. 47, No.6, pp. 760–769, June, 1995.This work was partially supported by the Russian Foundation for Fundamental Research (Grant 93-01-16003).     

GROUP ANALYSIS OF THE EQUATIONS OF IDEAL PLASTICITY

Journal of Applied Mechanics and Technical Physics - This paper deals with the problem of constructing exact solutions of the von Mises three-dimensional equations of plasticity based on the group...     

Characterization of groups with generalized chernikov periodic part

A characterization of groups with generalized Chernikov periodic part is obtained first in the class of groups without elements of order 2 and then without this restriction. Two author’s theorems for periodic groups are generalized to mixed groups. Translated fromMatematicheskie Zametki, Vol. 67, No. 2, pp. 270–275, February, 2000.     

Almost layer finiteness of a periodic group without involutions

We prove a theorem that characterizes the class of almost layer finite groups in the class of periodic groups without involutions: If the normalizer of any nontrivial finite subgroup of a periodic conjugate biprimitive finite group without involutions is almost layer finite, then the group itself is almost layer finite. Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 51, No. 11, pp. 1529–1533, November, 1999.