Zap. Nauchn. Sem. POMI, 2000, Volume 272

JOURNALS // Zapiski Nauchnykh Seminarov POMI // Archive

2000, Volume 272

Contents

Problems in the theory of representations of algebras and groups. Part 7

	Anatolii Vladimirovich Yakovlev N. A. Vavilov, S. V. Vostokov, A. I. Generalov, N. L. Gordeev, B. B. Lur'e, A. S. Merkur'ev, V. V. Ishkhanov, I. A. Panin, A. I. Skopin, A. A. Suslin		5
	Units in group algebras of finite $p$-groups A. A. Bovdi, Z. Patay		14
	Gróbner–Shirshov bases: from incipiency to nowdays L. A. Bokut', P. S. Kolesnikov		26
	Overgroups of $\mathrm{EO}(2l,R)$ N. A. Vavilov, V. A. Petrov		68
	The explicit formula of the Hilbert symbol for Honda formal groups S. V. Vostokov, O. V. Demchenko		86
	Basic submodules of modules over right noetherian serial rings. I A. I. Generalov, I. M. Zilberbord		129
	The Hilbert-Poincare series for some algebras of invariants of cyclic groups N. L. Gordeev		144
	Two-variable identities in groups and Lie algebras F. J. Grunewald, B. È. Kunyavskii, D. B. Nikolova, E. B. Plotkin		161
	A conjugacy theorem for subgroups of $\mathrm{SL}_n$ containing the group of diagonal matrices A. E. Egorov, A. A. Panin		177
	Additive and multiplicative decompositions in multidimensional local fields I. B. Zhukov, A. I. Madunts		186
	On the biquadratic Eisenstein series D. S. Kataev		197
	Subgroups of the general linear group containing an elementary subgroup in a reducible representation A. I. Korotkevich		227
	Upper bounds on homological dimensions of pullback rings. II N. V. Kosmatov		234
	Cancellation law for $T$-forms M. I. Kyurshina		238
	Subgroups of the general linear group over a local field K. Yu. Lavrov		242
	The Faddeev–Hasse compatibility condition in the field embedding problem B. B. Lur'e		259
	The arrangement of the long and short root subgroups in the Chevalley group of type $G_2$ V. V. Nesterov		273
	On a theorem of Grothendieck I. A. Panin, A. L. Smirnov		286
	On the reduced Whitehead group of an affine conic A. S. Sivatski		294
	Some constructions of exact sequences A. V. Stepanov		303
	Multilinear Lie quantum operations V. K. Kharchenko		321
	A simple example of extensions without an integral basis V. M. Tsvetkov		341