Geodesic

Galois theory, rings, algebraic groups and their applications

Sommaire

Preface
p. 4-6
Closure operators on algebras, and strictly regular algebras
p. 7-22
Rational points on elliptic curves
p. 22-29
Subgroups of splittable classical groups
p. 29-42
Calculation of the volumes of some classical fundamental domains of a~group of integer matrices
p. 42-50
An elementary abelian $p$-extension of a~multidimensional local field
p. 50-60
Algebras of invariants of finite groups
p. 60-68
The Maass space for ${\mathrm{SU}}(2,2)$
p. 68-78
Modular representations of finite groups over integral domains
p. 78-86
Finite modules over purely Noetherian algebras
p. 86-96
The eigenvalue~1 of matrices of complex representations of finite Chevalley groups
p. 96-106
A~theorem on sandwich algebras
p. 106-111
A~simple proof of a~theorem of Gizatullin
p. 111-116
An embedding problem with a~nonabelian kernel of order $p^4$
p. 116-121
Universally solvable embedding problems
p. 121-126
Superalgebraic curves and quantum strings
p. 126-138
Generators and relations of the Brauer group of a~field
p. 139-144
Extension of multiplicative isomorphisms of semiprime rings to their orthogonal completions
p. 145-148
Tame partially ordered sets with involution
p. 149-159
Galois cohomology and the Brauer group of local fields
p. 159-169
Character rings of representations of finitely generated groups
p. 169-178
Conjugacy in the special linear group
p. 178-180
$K_3$ of a~field, and the Bloch group
p. 180-199
The L\"uroth problem
p. 199-204
Galois extensions with solvable group
p. 204-215
Reduced norms of simple algebras over function fields
p. 215-222