Representation theory, group rings, and coding theory : papers in honor of S.D. Berman (1922-1987) /

Detalles Bibliográficos
Clasificación:Libro Electrónico
Otros Autores: Berman, S. D. (Samuil Davidovich), 1922-1987 (honouree.), Isaacs, M. (Editor )
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Providence, Rhode Island : American Mathematical Society, [1989]
Colección:Contemporary mathematics (American Mathematical Society) ; volume 93.
Temas:
Berman, S. D. > (Samuil Davidovich), > 1922-1987.
Berman, S. D. > (Samuil Davidovich), > 1922-1987
Representations of groups.
Group rings.
Coding theory.
Représentations de groupes.
Anneaux de groupes.
Coding theory
Group rings
Representations of groups
Festschriften
Festschriften.
Acceso en línea:Texto completo
Tabla de Contenidos:
  • ""Contents""; ""Preface""; ""S.D. Berman (1922â€?1987): A Biographical Note""; ""Publications of S. D. Berman""; ""Ph.D. Students of S.D. Berman""; ""The S. D. Berman work on coding theory and on theory of threshold functions""; ""Berman's contributions to group representation over fields""; ""1. Introduction""; ""2. Counting irreducible and indecomposable representations""; ""3. Induced representations""; ""4. Effective constructions of representations""; ""5. The Schur index""; ""S. D. Berman's contribution to the theory of integral representations of finite groups""
  • The work of S.D. Berman on infinite abelian group ringsBerman's work on units in group rings
  • On p-subgroups of finite symmetric and alternating groups
  • Parameters of abelian codes in the group algebra KG of G = (a) x (b), aP = bP = 1, p prime, over a finite field K with primitive pth root of unity and related MDS-codes
  • 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 subgroupsThe 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 p-groups
  • Free groups in normal subgroups of unit groups and arithmetic groups
  • On the Bass-Milnor index of abelian p-groups
  • 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, IThe structure of Go for certain polycyclic group algebras and related algebras
  • The direct factor problem for modular abelian group algebras
  • On the isomorphism of the semi-simple 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 U(ZG)
  • Connectivity of the finite group and generalized characters

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