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Record Nr. |
UNINA9910480339603321 |
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Titolo |
Representation theory, group rings, and coding theory : papers in honor of S.D. Berman (1922-1987) / / M. Isaacs [and five others], editors |
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Pubbl/distr/stampa |
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Providence, Rhode Island : , : American Mathematical Society, , [1989] |
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©1989 |
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ISBN |
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Descrizione fisica |
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1 online resource (392 p.) |
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Collana |
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Contemporary mathematics, , 0271-4132 ; ; volume 93 |
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Disciplina |
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Soggetti |
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Representations of groups |
Group rings |
Coding theory |
Electronic books. |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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Description based upon print version of record. |
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Nota di bibliografia |
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Includes bibliographical references. |
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Nota di contenuto |
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""Contents""; ""Preface""; ""S.D. Berman (1922�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"" |
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""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"" |
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