# Proceedings of the International Conference on Algebra Dedicated to the Memory of A. I. Mal$’$cev, Part 1

### About this Title

**L. A. Bokut′**, **Yu. L. Ershov** and **A. I. Kostrikin**, Editors

Publication: Contemporary Mathematics

Publication Year
1992: Volume 131.1

ISBNs: 978-0-8218-5136-4 (print); 978-0-8218-7720-3 (online)

DOI: http://dx.doi.org/10.1090/conm/131.1/

MathSciNet review: 1175869;
1175815;
1175757

### Table of Contents

**Front/Back Matter**

- Eiichi Abe – Groups associated with some types of infinite-dimensional Lie algebras [MR 1175758]
- S. I. Adian and I. G. Lysionok – The method of classification of periodic words and the Burnside problem [MR 1175759]
- C. I. Beidar and A. V. Mikhalëv – On Mal′cev’s theorem on elementary equivalence of linear groups [MR 1175760]
- O. V. Belegradek – The Mal′cev correspondence revisited [MR 1175761]
- K. Benabdallah and A. Mader – When is multiplication by $p$ a closed map? [MR 1175762]
- A. V. Borovik – A maximal subgroup in the simple finite group $E_8(q)$ [MR 1175763]
- Adalbert Bovdi – On group algebras with solvable unit groups [MR 1175764]
- A. A. Fomin – The category of quasi-homomorphisms of abelian torsion free groups of finite rank [MR 1175765]
- Thomas A. Fournelle and Kenneth W. Weston – A generalization of Mal′cev’s correspondence between rings and groups and a class of Lie groups [MR 1175766]
- I. Z. Golubchik – Isomorphisms of the general linear group ${\rm GL}_n(R),\; n\geq 4$, over an associative ring [MR 1175767]
- P. G. Gres′ – Fong’s reduction, the correspondences of Brauer and Glauberman and Alperin’s weight conjecture [MR 1175768]
- R. I. Grigorchuk and P. F. Kurchanov – On quadratic equations in free groups [MR 1175769]
- P. M. Gudivok – On representations of finite groups over some factorial rings [MR 1175770]
- C. K. Gupta – Some recent results on automorphism groups [MR 1175771]
- Narain Gupta – Some problems in free group rings [MR 1175772]
- W. Charles Holland – Partial orders of the group of automorphisms of the real line [MR 1175773]
- Oliver King – The subgroup structure of the classical groups [MR 1175774]
- A. N. Krasil′nikov – On the identities of representations of groups by triangular matrices over a commutative ring [MR 1175775]
- V. M. Levchuk – Chevalley groups and their unipotent subgroups [MR 1175776]
- Martin W. Liebeck and Jan Saxl – Maximal subgroups of finite simple groups and their automorphism groups [MR 1175777]
- A. I. Moskalenko – On extensions of a separable $p$-group by a quasi-cyclic $p$-group [MR 1175778]
- Shingo Murakami – Exceptional simple Lie group $F_4$ and spin representations [MR 1175779]
- A. G. Myasnikov and V. N. Remeslennikov – Weak second order logic in group theory [MR 1175780]
- K. N. Ponomaryov – Abstract isomorphisms of algebraic solvable groups [MR 1175781]
- K. W. Roggenkamp – The isomorphism problem for finite group rings [MR 1175782]
- V. A. Roman′kov – On representations of the braid groups by matrices [MR 1175783]
- Gerhard Rosenberger – On subgroups of free products of cyclics [MR 1175784]
- L. L. Scott – On a conjecture of Zassenhaus, and beyond [MR 1175785]
- E. E. Shirshova – On extensions of ${\rm po}$-groups [MR 1175786]
- V. E. Shpilrain – On successive free central extensions of $F/\gamma _n(R)$ groups [MR 1175787]
- A. N. Skiba – On nontrivial factorisations of a one-generated local formation of finite groups [MR 1175788]
- S. P. Strunkov – Some arithmetical properties of finite groups and their linear representations [MR 1175789]
- I. Ya. Subbotin and N. F. Kuzennyĭ – On groups with fan subgroups [MR 1175790]
- I. D. Suprunenko – Minimal polynomials of elements of order $p$ in irreducible representations of Chevalley groups over fields of characteristic $p$ [MR 1175791]
- V. I. Suschansky – Wreath product and factorization of groups [MR 1175792]
- O. I. Tavgen′ – Bounded generation of normal and twisted Chevalley groups over the rings of $S$-integers [MR 1175793]
- Nguy\cftil{e}n Quôc Tháng – On the weak approximation in algebraic groups [MR 1175794]
- V. I. Trofimov – Vertex stabilizers of symmetric graphs with projective subconstituents [MR 1175795]
- D. A. R. Wallace – Automorphisms of group rings [MR 1175796]
- M. J. Wicks – Automorphisms of the free group of rank two [MR 1175797]
- A. E. Zalesskiĭ – Group rings of locally finite groups and representation theory [MR 1175798]
- P. A. Zalesskiĭ – Open subgroups of free profinite products [MR 1175799]
- A. Yu. Ol’shanskii – Addition to my talk at the conference
- L. A. Kurdacenko – On some classes of periodic ${\rm FC}$-groups [MR 1175801]

- John R. Faulkner – Planes with non-division coordinate rings [MR 1175802]
- R. I. Grigorchuk, P. F. Kurchanov and H. Zieschang – Equivalence of homomorphisms of surface groups to free groups and some properties of $3$-dimensional handlebodies [MR 1175803]
- Oddvar Iden – Automorphism groups of free geometries [MR 1175804]
- M. È. Kapovich – Flat conformal structures on $3$-manifolds (survey) [MR 1175805]
- S. A. Khabbaz – Singular solutions as semi-algebraic sets: the singular solutions of generic first order differential equations [MR 1175806]
- G. N. Khimshiashvili – Lie groups and transmission problems on Riemann surfaces [MR 1175807]
- D. Leĭtes and E. Poletaeva – Analogues of the Riemannian structure for classical superspaces [MR 1175808]
- Gen. A. Noskov – The Hochschild-Serre spectral sequence for bounded cohomology [MR 1175809]
- Antonio Pasini – A survey of finite flag-transitive locally classical $c.C_2$-geometries. Groups for geometries in given diagrams. I [MR 1175810]
- D. H. Phong – Superstrings and holomorphic supergeometry [MR 1175811]
- M. N. Podoksyonov – Transformations of Lie groups that map one-dimensional cosets into one-dimensional cosets [MR 1175812]
- N. D. Podufalov – On spread sets and collineations of projective planes [MR 1175813]
- L. V. Sabinin – Smooth quasigroups and loops. New results [MR 1175814]