Representation theory, group rings, and coding theory : papers in honor of S.D. Berman (19221987)

Contributor(s): Berman S D | Isaacs MMaterial type: Computer fileComputer fileSeries: Contemporary mathematics ; v. 93Publication details: Providence, R.I. : American Mathematical Society, c1989Description: 1 online resource (xxxi, 357 p.)ISBN: 9780821876817 (online)Subject(s): Coding theory | Group rings | Representations of groupsOnline resources: Click here to access online
Contents:
The S. D. Berman work on coding theory and on theory of threshold functions ; Berman's contributions to group representations over fields ; S. D. Berman's contribution to the theory of integral representations of finite groups ; The work of S. D. Berman on infinite abelian group rings ; Berman's work on units in group rings ; On h root of unity and related MDScodes ; Locally cyclic modules over a valuation ring ; On the modules over a real crossed group algebra ; The minimal number of generators of wreath products of nilpotent groups ; Torsion free space groups and permutation lattices for finite groups ; Clifford theory and induction from subgroups ; The isomorphism problem for modular group algebras of groups with large centres ; Zero divisors in group rings: something old, something new ; The augmentation quotients of finite abelian roups ; Free groups in normal subgroups of unit groups and arithmetic groups ; On the BassMilnor index of abelian roups ; A remark on algebraic geometric codes ; On decomposition of a binomial in a skew polynomial ring ; The associated graded algebra of a group algebra ; On nilpotent and soluble subgroups of linear groups over fields of fractions of enveloping algebras and of group rings. I ; The structure of B N Gartshtein and I I Grushko ; G Karpilovsky ; A I Lichtman ; Warren May ; Robert Sandling ; Ja G Berkovic ; S D Berman and I I Grushko ; S D Berman and N I Vishnyakova ; K Buzasi ; K Buzasi and L G Kovacs ; Gerald Cliff and Alfred Weiss ; Everett C Dade ; Vesselin Drensky ; Daniel R Farkas and Peter A Linnell ; A W Hales and I B S Passi ; B Hartley ; Klaus Hoechsmann ; G L Katsman and M A Tsfasman ; E Sh Kerer ; L Krop ; A I Lichtman ; Martin Lorenz and D S Passman ; Warren May ; Todor Zh Mollov ; S I Ostrovskaya ; Jurgen Ritter and Sudarshan K Sehgal ; EM Zmud
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0821850989 (alk. paper)

Includes bibliographical references.

The S. D. Berman work on coding theory and on theory of threshold functions ; Berman's contributions to group representations over fields ; S. D. Berman's contribution to the theory of integral representations of finite groups ; The work of S. D. Berman on infinite abelian group rings ; Berman's work on units in group rings ; On ubgroups of finite symmetric and alternating groups ; Parameters of abelian codes in the group algebra G of =(a)\times (b),\ ; a^p=b^p=1,\ ; p prime, over a finite field with primitive h root of unity and related MDScodes ; Locally cyclic modules over a valuation ring ; On the modules over a real crossed group algebra ; The minimal number of generators of wreath products of nilpotent groups ; Torsion free space groups and permutation lattices for finite groups ; Clifford theory and induction from subgroups ; The isomorphism problem for modular group algebras of groups with large centres ; Zero divisors in group rings: something old, something new ; The augmentation quotients of finite abelian roups ; Free groups in normal subgroups of unit groups and arithmetic groups ; On the BassMilnor index of abelian roups ; A remark on algebraic geometric codes ; On decomposition of a binomial in a skew polynomial ring ; The associated graded algebra of a group algebra ; On nilpotent and soluble subgroups of linear groups over fields of fractions of enveloping algebras and of group rings. I ; The structure of _0 for certain polycyclic group algebras and related algebras ; The direct factor problem for modular abelian group algebras ; On the isomorphism of the semisimple group algebras of the primary abelian groups ; On the canonical irreducible representations of countable locally finite groups and infinite Frobenius group ; Generators of subgroups of (\mathbf Z G) ; Connectivity of the finite group and generalized characters B N Gartshtein and I I Grushko ; G Karpilovsky ; A I Lichtman ; Warren May ; Robert Sandling ; Ja G Berkovic ; S D Berman and I I Grushko ; S D Berman and N I Vishnyakova ; K Buzasi ; K Buzasi and L G Kovacs ; Gerald Cliff and Alfred Weiss ; Everett C Dade ; Vesselin Drensky ; Daniel R Farkas and Peter A Linnell ; A W Hales and I B S Passi ; B Hartley ; Klaus Hoechsmann ; G L Katsman and M A Tsfasman ; E Sh Kerer ; L Krop ; A I Lichtman ; Martin Lorenz and D S Passman ; Warren May ; Todor Zh Mollov ; S I Ostrovskaya ; Jurgen Ritter and Sudarshan K Sehgal ; EM Zmud

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