Trudy Mat. Inst. Steklov., 1990, Volume 183

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JOURNALS // Trudy Matematicheskogo Instituta imeni V.A. Steklova // Archive

1990, Volume 183

General information

Contents

Galois theory, rings, algebraic groups and their applications

Collected papers

	Dmitrii Konstantinovich Faddeev (1907–1989) (photo)
	Preface		4
	Closure operators on algebras, and strictly regular algebras V. A. Andrunakievich, Yu. M. Ryabukhin		7
	Rational points on elliptic curves M. I. Bashmakov		22
	Subgroups of splittable classical groups N. A. Vavilov		29
	Calculation of the volumes of some classical fundamental domains of a group of integer matrices V. E. Voskresenskii		42
	An elementary abelian $p$-extension of a multidimensional local field S. V. Vostokov		50
	Algebras of invariants of finite groups N. L. Gordeev		60
	The Maass space for ${\mathrm{SU}}(2,2)$ V. A. Gritsenko		68
	Modular representations of finite groups over integral domains P. M. Gudivok, E. Ya. Pogorilyak		78
	Finite modules over purely Noetherian algebras Yu. A. Drozd		86
	The eigenvalue 1 of matrices of complex representations of finite Chevalley groups A. E. Zalesskii		96
	A theorem on sandwich algebras E. I. Zel'manov, A. I. Kostrikin		106
	A simple proof of a theorem of Gizatullin V. A. Iskovskikh		111
	An embedding problem with a nonabelian kernel of order $p^4$ V. V. Ishkhanov		116
	Universally solvable embedding problems B. B. Lur'e		121
	Superalgebraic curves and quantum strings Yu. I. Manin		126
	Generators and relations of the Brauer group of a field A. S. Merkur'ev		139
	Extension of multiplicative isomorphisms of semiprime rings to their orthogonal completions A. V. Mikhalev		145
	Tame partially ordered sets with involution L. A. Nazarova, V. M. Bondarenko, A. V. Roiter		149
	Galois cohomology and the Brauer group of local fields A. N. Parshin		159
	Character rings of representations of finitely generated groups V. P. Platonov, V. V. Benyash-Krivets		169
	Conjugacy in the special linear group D. A. Suprunenko		178
	$K_3$ of a field, and the Bloch group A. A. Suslin		180
	The Lüroth problem I. R. Shafarevich		199
	Galois extensions with solvable group A. V. Yakovlev		204
	Reduced norms of simple algebras over function fields V. I. Yanchevskii		215