Zap. Nauchn. Sem. LOMI, 1978, Volume 75

JOURNALS // Zapiski Nauchnykh Seminarov POMI // Archive

1978, Volume 75

Contents

Rings and linear groups

	Simple groups with a small number of conjugacy classes A. G. Aleksandrov, É. A. Komissarchik		5
	Selmer groups of supersingular elliptic curves M. I. Bashmakov, A. S. Kurochkin		16
	Subgroups of linear groups rich in transvections Z. I. Borevich		22
	Subgroups of the full linear group over a semilocal ring Z. I. Borevich, N. A. Vavilov		32
	The number of labeled topologies on nine points Z. I. Borevich, V. Venslav, É. Dobrovol'skii, V. I. Rodionov		35
	Parabolic subgroups of Chevalley groups over a semilocal ring N. A. Vavilov		43
	The second factor in the reciprocity law S. V. Vostokov		59
	Completely solvable imbedding problems with Abelian kernel for local fields O. M. Grigoryan, B. B. Lur'e		67
	The index of a net subgroup of a symplectic group over a Dedekind ring E. V. Dybkova		74
	Convex polytopes and formal groups A. N. Kirillov		87
	Classification of pairs of mutually annihilating operators in a graded space and representations of the diad of generalized uniserial algebras V. V. Kirichenko		91
	Quadratic spaces and quaternion algebras V. I. Kopeiko		110
	Completely solvable imbedding problems for local fields B. B. Lur'e		121
	The seven-term sequence in the Galois theory of rings A. S. Merkur'ev		127
	Complex representations of the general linear group of third degree over a residue ring modulo a primary integer S. V. Nagornyi		143
	A property of root systems E. B. Plotkin		151
	Center of the semigroup algebra of a finite inverse semigroup over the field of complex numbers A. V. Rukolaine		154
	Transmetabelian groups A. I. Skopin		159
	A group of exponent 8 A. I. Skopin		164
	Existence of a periodic resolution for an augmented algebra L. E. Khmeleva, A. V. Yakovlev		166
	An abstract characterization of the Galois group of the algebraic closure of a local field A. V. Yakovlev		179