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Year 2006

D. N. Azarov On the residual p-finiteness of free product of two nilpotent groups with finite amalgamated subgroups

The necessary and sufficient condition for free product of two finitely generated nilpotent groups with finite amalgamated subgroups to be residually a finite p-group is obtained.

Full text (Russian) (PDF, 209 Kb)

A. S. Belov On the sum of modules of members of grouped trigonometrical series with monotone coefficients

Absolute convergence of grouped some way trigonometrical series with monotone coefficients and properties of the sum of modules of members of such series are investigated.

Full text (Russian) (PDF, 285 Kb)

S. V. Kolesnikov On the unconvergency sets of Taylor series for analitic functions having finite integral Diriclet

In the article functions analytic and having finite integral Diriclet in the unit circle are considered. In this case full characteristic of sets of nonexistence for boundary nontangential values is given.

Full text (Russian) (PDF, 243 Kb)

D. I. Moldavanskii On the residual p-finiteness of HNN-extensions of nilpotent groups

The necessary and sufficient condition for HNN-extension of finitely generated nilpotent group with finite associated subgroups to be residually a finite p-group is obtained.

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O. E. Senkevich Conjugacy separability of certain HNN-extensions of groups

It is proved that HNN-extension of conjugacy separable group with proper central associated subgroups under the condition of separability of all finitely generated subgroups belonging to the product of associated subgroups is conjugacy separable group if and only if it is residually finite.

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D. V. Turtin The uniqueness theorem of Cauchy problem for linear systems with variable coefficients

It is proved the uniqueness theorem of Cauchy problem for general evolutional systems of linear differential equations with two independent variables.

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