04004nam 2200553 450 991048033960332120170821170833.00-8218-7681-3(CKB)3240000000069620(EBL)3112982(MiAaPQ)EBC3112982(PPN)197104142(EXLCZ)99324000000006962019890427h19891989 uy| 0engur|n|---|||||rdacontentrdamediardacarrierRepresentation theory, group rings, and coding theory papers in honor of S.D. Berman (1922-1987) /M. Isaacs [and five others], editorsProvidence, Rhode Island :American Mathematical Society,[1989]©19891 online resource (392 p.)Contemporary mathematics,0271-4132 ;volume 93Description based upon print version of record.0-8218-5098-9 Includes bibliographical references.""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 rings""""Berman'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 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 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, I""""The 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""Contemporary mathematics (American Mathematical Society) ;volume 93.Representations of groupsGroup ringsCoding theoryElectronic books.Representations of groups.Group rings.Coding theory.512/.2Berman S. D(Samuil Davidovich),1922-1987,Isaacs M.MiAaPQMiAaPQMiAaPQBOOK9910480339603321Representation theory, group rings, and coding theory79713UNINA