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Representation theory, group rings, and coding theory : [electronic resource] papers in honor of S.D. Berman (1922-1987) / M. Isaacs ... [et al.], editors.

Contributor(s): Berman, S. D. (Samuil Davidovich), 1922-1987 | Isaacs, MMaterial type: Text

TextSeries: Contemporary mathematics (American Mathematical Society) ; v. 93.Publication details: Providence, R.I. : American Mathematical Society, c1989Description: 1 online resource (xxxi, 357 p.)ISBN: 9780821876817 (online)Subject(s): Representations of groups | Group rings | Coding theory | Berman, S. D. (Samuil Davidovich), 1922-1987Additional physical formats: Representation theory, group rings, and coding theory :DDC classification: 512/.2 LOC classification: QA171 | .R428 1989Online resources: Contents | Contents

Contents:

The S. D. Berman work on coding theory and on theory of threshold functions / B. N. Gartshtein and I. I. Grushko -- http://www.ams.org/conm/093/ http://dx.doi.org/10.1090/conm/093/1003337 Berman's contributions to group representations over fields / G. Karpilovsky -- http://www.ams.org/conm/093/ http://dx.doi.org/10.1090/conm/093/1003338 S. D. Berman's contribution to the theory of integral representations of finite groups / A. I. Lichtman -- http://www.ams.org/conm/093/ http://dx.doi.org/10.1090/conm/093/1003339 The work of S. D. Berman on infinite abelian group rings / Warren May -- http://www.ams.org/conm/093/ http://dx.doi.org/10.1090/conm/093/1003340 Berman's work on units in group rings / Robert Sandling -- http://www.ams.org/conm/093/ http://dx.doi.org/10.1090/conm/093/1003341 On $p$-subgroups of finite symmetric and alternating groups / Ja. G. Berkovic -- http://www.ams.org/conm/093/ http://dx.doi.org/10.1090/conm/093/1003342 Parameters of abelian codes in the group algebra $KG$ of $G=(a)\times (b),\; a^p=b^p=1,\; p$ prime, over a finite field $K$ with primitive $p$th root of unity and related MDS-codes / S. D. Berman and I. I. Grushko -- http://www.ams.org/conm/093/ http://dx.doi.org/10.1090/conm/093/1003343 Locally cyclic modules over a valuation ring / S. D. Berman and N. I. Vishnyakova -- http://www.ams.org/conm/093/ http://dx.doi.org/10.1090/conm/093/1003344 On the modules over a real crossed group algebra / K. Buz�asi -- http://www.ams.org/conm/093/ http://dx.doi.org/10.1090/conm/093/1003345 The minimal number of generators of wreath products of nilpotent groups / K. Buz�asi and L. G. Kov�acs -- http://www.ams.org/conm/093/ http://dx.doi.org/10.1090/conm/093/1003346 Torsion free space groups and permutation lattices for finite groups / Gerald Cliff and Alfred Weiss -- http://www.ams.org/conm/093/ http://dx.doi.org/10.1090/conm/093/1003347 Clifford theory and induction from subgroups / Everett C. Dade -- http://www.ams.org/conm/093/ http://dx.doi.org/10.1090/conm/093/1003348 The isomorphism problem for modular group algebras of groups with large centres / Vesselin Drensky -- http://www.ams.org/conm/093/ http://dx.doi.org/10.1090/conm/093/1003349 Zero divisors in group rings: something old, something new / Daniel R. Farkas and Peter A. Linnell -- http://www.ams.org/conm/093/ http://dx.doi.org/10.1090/conm/093/1003350 The augmentation quotients of finite abelian $p$-groups / A. W. Hales and I. B. S. Passi -- http://www.ams.org/conm/093/ http://dx.doi.org/10.1090/conm/093/1003351 Free groups in normal subgroups of unit groups and arithmetic groups / B. Hartley -- http://www.ams.org/conm/093/ http://dx.doi.org/10.1090/conm/093/1003352 On the Bass-Milnor index of abelian $p$-groups / Klaus Hoechsmann -- http://www.ams.org/conm/093/ http://dx.doi.org/10.1090/conm/093/1003353 A remark on algebraic geometric codes / G. L. Katsman and M. A. Tsfasman -- http://www.ams.org/conm/093/ http://dx.doi.org/10.1090/conm/093/1003354 On decomposition of a binomial in a skew polynomial ring / E. Sh. Kerer -- http://www.ams.org/conm/093/ http://dx.doi.org/10.1090/conm/093/1003355 The associated graded algebra of a group algebra / L. Krop -- http://www.ams.org/conm/093/ http://dx.doi.org/10.1090/conm/093/1003356 On nilpotent and soluble subgroups of linear groups over fields of fractions of enveloping algebras and of group rings. I / A. I. Lichtman -- http://www.ams.org/conm/093/ http://dx.doi.org/10.1090/conm/093/1003357 The structure of $G_0$ for certain polycyclic group algebras and related algebras / Martin Lorenz and D. S. Passman -- http://www.ams.org/conm/093/ http://dx.doi.org/10.1090/conm/093/1003358 The direct factor problem for modular abelian group algebras / Warren May -- http://www.ams.org/conm/093/ http://dx.doi.org/10.1090/conm/093/1003359 On the isomorphism of the semi-simple group algebras of the primary abelian groups / Todor Zh. Mollov -- http://www.ams.org/conm/093/ http://dx.doi.org/10.1090/conm/093/1003360 On the canonical irreducible representations of countable locally finite groups and infinite Frobenius group / S. I. Ostrovskaya -- http://www.ams.org/conm/093/ http://dx.doi.org/10.1090/conm/093/1003361 Generators of subgroups of $U(\mathbf {Z} G)$ / J�urgen Ritter and Sudarshan K. Sehgal -- http://www.ams.org/conm/093/ http://dx.doi.org/10.1090/conm/093/1003362 Connectivity of the finite group and generalized characters / �E�M. �Zmud -- http://www.ams.org/conm/093/ http://dx.doi.org/10.1090/conm/093/1003363

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Includes bibliographical references.

0821850989 (alk. paper)

The S. D. Berman work on coding theory and on theory of threshold functions / B. N. Gartshtein and I. I. Grushko -- Berman's contributions to group representations over fields / G. Karpilovsky -- S. D. Berman's contribution to the theory of integral representations of finite groups / A. I. Lichtman -- The work of S. D. Berman on infinite abelian group rings / Warren May -- Berman's work on units in group rings / Robert Sandling -- On $p$-subgroups of finite symmetric and alternating groups / Ja. G. Berkovic -- Parameters of abelian codes in the group algebra $KG$ of $G=(a)\times (b),\; a^p=b^p=1,\; p$ prime, over a finite field $K$ with primitive $p$th root of unity and related MDS-codes / S. D. Berman and I. I. Grushko -- Locally cyclic modules over a valuation ring / S. D. Berman and N. I. Vishnyakova -- On the modules over a real crossed group algebra / K. Buz�asi -- The minimal number of generators of wreath products of nilpotent groups / K. Buz�asi and L. G. Kov�acs -- Torsion free space groups and permutation lattices for finite groups / Gerald Cliff and Alfred Weiss -- Clifford theory and induction from subgroups / Everett C. Dade -- The isomorphism problem for modular group algebras of groups with large centres / Vesselin Drensky -- Zero divisors in group rings: something old, something new / Daniel R. Farkas and Peter A. Linnell -- The augmentation quotients of finite abelian $p$-groups / A. W. Hales and I. B. S. Passi -- Free groups in normal subgroups of unit groups and arithmetic groups / B. Hartley -- On the Bass-Milnor index of abelian $p$-groups / Klaus Hoechsmann -- A remark on algebraic geometric codes / G. L. Katsman and M. A. Tsfasman -- On decomposition of a binomial in a skew polynomial ring / E. Sh. Kerer -- The associated graded algebra of a group algebra / L. Krop -- On nilpotent and soluble subgroups of linear groups over fields of fractions of enveloping algebras and of group rings. I / A. I. Lichtman -- The structure of $G_0$ for certain polycyclic group algebras and related algebras / Martin Lorenz and D. S. Passman -- The direct factor problem for modular abelian group algebras / Warren May -- On the isomorphism of the semi-simple group algebras of the primary abelian groups / Todor Zh. Mollov -- On the canonical irreducible representations of countable locally finite groups and infinite Frobenius group / S. I. Ostrovskaya -- Generators of subgroups of $U(\mathbf {Z} G)$ / J�urgen Ritter and Sudarshan K. Sehgal -- Connectivity of the finite group and generalized characters / �E�M. �Zmud --