Panchishkin Asymptotic Properties of Elements in Group Rings of Finite Groups

COMMUNICATIONS IN ALGEBRA

Volume 29, Number 9, 2001 Special Issue Dedicated to Alexei Ivanovich Kostrikin

CONTENTS

Dedication . . . ix Twisted Group Algebras Satisfying a Generalized Polynomial

Identity . . . . . D. S. Passman

3683

Galois Lattices and Reductions of Algebraic T o r i . . . 3711 S. Y. Popov and V. Voskresenskii

Sur Les Produits Triples A-Adiques . . . 3727 Y.-H. Le Bras and A. A. Panchishkin

Asymptotic Properties of Elements in Group Rings of Finite

Groups . . . 3741 S. P. Strunkov and K. P. Shum

Restrictions of Large Irreducible Representations of the Classical Groups to Naturally Embedded Small Subgroups

Cannot Be Semisimple . . . 3747 /. D. Suprunenko

Jacobson Formula for Right-Symmetric Algebras in

Characteristic p ... 3759 A. Dzhumadii'daev

On Free Products of Absolute Galois Groups. II . . . 3773 Y. L. Ershov

Locally Nilpotent Ideals of Special Lie Algebras . . . 3781 S. A. Pikhtilkov

Polynomial Identities on Superalgebras and Almost Polynomial

Growth . . . 3787 A. Giarnbruno, S. Mishchenko, and M. Zaicev

Stratification of Prime Spectrum of Quantum Solvable

Algebras . . . 3801 A. N . Panov

vi CONTENTS Polycyclic Restricted Lie Algebras . . . 3829 D. S. Passman and V. M. Petrogradsky

Orthogonal Decompositions and Idempotent Configurations in

Semisimple Associative Algebras . . . 3839 D. N. fvanov

Valuations on Quantum Division Rings . . . 3889 V. A. Artamonov

Linear Preservers for Drazin Star Partial Order . . . 3905 A. Guterman

Automorphisms of Exceptional Simple Lie Algebras . . . 3919 M. I. Kuznetsov and 0. A. Mulyar

Construction of Non-finitely Based T-Ideals . . . 3935

V. V. Shchigolev

Degeneration of Semisimple Algebras . . . 3943

/. R. Shafarevich

On Log Canonical Thresholds . . . 3961 Yu. G. Prokhorov

Two-Torsion of the Brauer Groups of Hyperelliptic Curves and

Unramified Algebras over Their Function Fields . . . 3971 U. Rehmann, S. V. Tikhonov, and V. I. Yanchevskii

On Homological Properties of the Rank 4 Geometry Related to

the Higman-Sims Group . . . 3989 V. P. Burichenko

A Just Non-finitely Based Variety of Bigroups . . . 4011 C. K. Gupta and A. N. Krasilnikov

On the Automorphism Group Schemes of Lie Algebras of

Witt Type . . . 4047 S. Skryabin

Quasi-Frobenius Bimodules of Functions on a S e m i g r o u p . . . 4079 V. L. Kurakin and A. A. Nechaev

Gradings of Simple Jordan Algebras and Their Relation to

the Gradings of Simple Associative Algebras . . . 4095 Y. Bahturin and I . Shestakov

Finite Linear Groups of Small Degree. II . . . 4103 A. S. Kondratiev

CONTENTS vii On Partially Saturated Formations and Residuals of Finite

Groups . . . 4125 L. A. Shemetkov

Groups of Automorphisms of Chevalley Algebras . . . 4139 K. N. Ponomarev and A. Fir at

Integrable Systems and Local Fields . . . 4157 A. N. Par shin

Poincare-Hilbert Series, PI, and Noetherianity of the

Enveloping of the KIT Algebra . . . 4183 /. E. Antoniou and N. K. lyudu

Factor-Complex for Leibniz Cohomology . . . 4197

A. S. Dzhumadii'daev and A. A. Davydov

Z^-Codimensions of Z^-Identities of Grassmann Algebra . . . 4211 N. Anisimov

Gorenstein Tiled Orders . . . 4231 K. W. Roggenkamp, V. V. Kirichenko, M. A. Khibina, and

V. N. Zhuravlev

Topological Solvability of Equations over Groups . . . 4249

A. A. Klydchko and 0. V. Sipacheva

Comparison of Products of the Varieties of Lie Algebras . . . 4267 A. Yu. Ol'shanskii and A. L. Shmelkin

An Overview of A-Type Operations on Quasi-symmetric

Functions . . . 4277 K. Bertet, D. Krob, M. Morvan, J.-C. Novelli, H. D. Phan,

and J.- Y. Thibon

Grobner-Shirshov Bases for Coxeter Groups . . . 4305 L. A. Bokut and L.-S. Shiao