**Contemporary Mathematics**

Volume: 131;
1992;
712 pp;
Softcover

MSC: Primary 00; 03; 06; 08; 12; 13; 14; 16; 17; 18; 20; 22; 51;
Secondary 05; 11; 15; 19; 53

Print ISBN: 978-0-8218-5136-4

Product Code: CONM/131.1

List Price: $102.00

AMS Member Price: $81.60

MAA Member Price: $91.80

**Electronic ISBN: 978-0-8218-7720-3
Product Code: CONM/131.1.E**

List Price: $102.00

AMS Member Price: $81.60

MAA Member Price: $91.80

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# Proceedings of the International Conference on Algebra Dedicated to the Memory of A. I. Mal\(’\)cev

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*L. Bokut; A. I. Kostrikin; Yu. L. Ershov*

# Table of Contents

## Proceedings of the International Conference on Algebra Dedicated to the Memory of A. I. Mal$'$cev

- Contents v6 free
- Foreword xvii18 free
- Introduction xix20 free
- Brief Scientific Contents of the Plenary Reports xxiii24 free
- Section 1-Groups 128 free
- Groups Associated with Some Types of Infinite Dimensional Lie Algebras 330
- The Method of Classification of Periodic Words and the Burnside Problem 1340
- On Mal'cev's Theorem on Elementary Equivalence of Linear Groups 2956
- The Mal'cev Correspondence Revisited 3764
- When is Multiplication by P a Closed Map? 6188
- A Maximal Subgroup in the Simple Finite Group E8(q) 6794
- On Group Algebras with Solvable Unit Groups 81108
- The Category of Quasi-Homomorphisms of Abelian Torsion Free Groups of Finite Rank 91118
- A Generalization of Mal'cev's Correspondence between Rings and Groups and a Class of Lie Groups 113140
- Isomorphisms of the General Linear Group GL11 (R), n ≥ 4, over an Associative Ring 123150
- Fong's Reduction, the Correspondences of Brauer and Glauberman, and Alperin's Weight Conjecture 137164
- On Quadratic Equations in Free Groups 159186
- On Representations of Finite Groups over Some Factorial Rings 173200
- Some Recent Results on Automorphism Groups 183210
- Some Problems in Free Group Rings 189216
- Partial Orders of the Group of Automorphisms of the Real Line 197224
- The Subgroup Structure of the Classical Groups 209236
- On the Identities of Representations of Groups by Triangular Matrices over a Commutative Ring 217244
- Chevalley Groups and their Unipotent Subgroups 227254
- Maximal Subgroups of Finite Simple Groups and their Automorphism Groups 243270
- On Extensions of a Separable p-Group by a Quasi-Cyclic p-Group 261288
- Exceptional Simple Lie Group F4 and Spin Representations 269296
- Weak Second Order Logic in Group Theory 273300
- Abstract Isomorphisms of Algebraic Solvable Groups 279306
- The Isomorphism Problem for Finite Group Rings 285312
- On Representations of the Braid Groups by Matrices 299326
- On Subgroups of Free Products of Cyclics 315342
- On a Conjecture of Zassenhaus, and Beyond 325352
- On Extensions of Po-Groups 345372
- On Successive Free Central Extensions of F / Yn (R) Groups 355382
- On Nontrivial Factorizations of a One-Generated Local Formation of Finite Groups 363390
- Some Arithmetical Properties of Finite Groups and Their Linear Representations 375402
- On Groups with Fan Subgroups 383410
- Minimal Polynomials of Elements of Order p in Irreducible Representations of Chevalley Groups over Fields of Characteristic p 389416
- Wreath Product and Factorization of Groups 401428
- Bounded Generation of Normal and Twisted Chevalley Groups over the Rings of S-Integers 409436
- On the Weak Approximation in Algebraic Groups 423450
- Vertex Stabilizers of Symmetric Graphs with Projective Subconstituents 427454
- Automorphisms of Groups Rings 429456
- Automorphisms of the Free Group of Rank Two 433460
- Group Rings of Locally Finite Groups and Representation Theory 453480
- Open Subgroups of Free Profinite Products 473500
- Addition to My Talk at the Conference 493520
- On Some Classes of Periodic FC-groups 499526

- Section 2-Geometry 511538
- Planes with Nondivision Coordinate Rings 513540
- Equivalence of Homomorphisms of Surface Groups to Free Groups and Some Properties of 3-Dimensional Handlebodies 521548
- Automorppism Groups of Free Geometries 531558
- Flat Conformal Structures on 3-Manifolds (Survey) 551578
- Singular Solutions as Semi-Algebraic Sets: The Singular Solutions of Generic First Order Differential Equations 571598
- Lie Groups and Transmission Problems on Riemann Surfaces 591618
- Analogues of the Riemannian Structure for Classical Superspaces 603630
- The Hochschild-Serre Spectral Sequence for Bounded Cohomology 613640
- A Survey of Finite Flag-Transitive Locally Classical c · C2-Geometries (Groups for Geometries in Given Diagrams, I) 631658
- Superstrings and Holomorphic Supergeometry 659686
- Transformations of Lie Groups that Map One-Dimensional Cosets into One-Dimensional Cosets 689716
- On Spread Sets and Collineations of Projective Planes 697724
- Smooth Quasigroups and Loops. New Results 707734