"Zapiski Nauchnyh Seminarov POMI"
VOL. 236
This issue is entitled "Problems in the Theory of Representations of
Algebras and Groups. Part 5"
editors V.V.Ischkhanov and A.I.Skopin
The present issue contains the papers related to topical problems of group
theory, the theory of modules, local fields, and Galois theory.
Contents
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Zenon Ivanovich Borevich .......9
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Bondarenko A. A. On the intermediate subgroups of the
general linear group containing group of quaternions ....... 13
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Bondarko M. V., Vostokov S. V. A decomposition of ideals in an
Abelian $p$-extension of complete discretely valuated fields .......23
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Borevich Z. I., Kojbaev V. A., Lavrent'ev I. V. Garlands containing
the general linear groups over a intermediate field .......34
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Vavilov N. A., Mysovskikh V. I, Teterin Yu. G. Computational
Group Theory in St. Petersburg .......42
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Vinigradov A. I. Comparison of the specrta. II
.......50
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Vostokov S. V., Vinnik P. M. The numbers of representations of
elements of $GF(p)$ as sums of $l$th degrees .......68
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Generalov A. I. Krull dimension of the module category over
right noetherian serial rings.......73
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Dybkova E. V. Overdiagonal subgroups of the hyperbolic unitary
group for a good form ring over a field .......87
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Ishkhanov V. V., Lur'e B. B. The embedding problem with
metabelian kernel .......97
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Ishkhanov V. V., Lur'e B. B. A compatibility condition for
the embedding problem with $p$-extension .......100
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Kehayopulu N., Ponizovskii J. S., Tsingelis M. The embedding of an
ordered semigroup into an ordered group by means of pseudoorder
.......106
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Mysovskikh V. I. On the lattice of subgroups normalized by a
symmetric one in the complete monomial group .......111
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Mysovskikh V. I. Testing subgroups of a finite group on
some embedding properties like pronormality .......119
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Mysovskikh V. I., Skopin A. I. Embedding properties of non-primary
subgroups of the symmetric group
of degree eight .......124
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Panin A. A. The Galois theory for a class of
modular complete lattices .......129
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Panin A. A., Yakovlev A. V. The Galois theory for a class of
modular lattices.......133
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Pachev U. M. Ergodic properties of flows for classes of positive binary
quadratic forms in Gauss genera .......149
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- Skopin A. I., Teterin Yu. G. On computer-based
calculations for transmetabelian groups of exponent 16, 25 and
27.......162
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Stepanov A. V. On the normal structure of the general linear
group over a ring .......166
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Terekhin P. A. Trigonometrical algebras.......183
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Tsvetkov V. M. On some 2-extension of the field $\BQ$ of
rational numbers .......192
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Yakovlev A. V. Bilinear forms on categories.......197
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- Reviews .......215
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Paging: 221 pp.
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Language: Russian
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