9781849965033 - group identities on units and symmetric units of group rings: 12 di lee, gregory t. (3 risultati)

Lingua: Inglese
Editore: Springer, Berlin, Springer London, Springer 2010
Serie: Algebra and Applications, Libro 11 di 29. Libro 11 di 29 - Algebra and Applications
- Rilegato
Da: AHA-BUCH GmbH, Einbeck, GermaniaAHA-BUCH GmbH
Contatta il venditoreVenditore con 5 stelleCondizione: Nuovo
EUR 59,27
EUR 62,32 spedizioneSpedito da Germania a U.S.A.Quantità: 2 disponibili
Buch. Condizione: Neu. Druck auf Anfrage Neuware - Printed after ordering - Let FG be the group ring of a group G over a field F. Write U(FG) for the group of units of FG. It is an important problem to determine the conditions under which U(FG) satisfies a group identity. In the mid 1990s, a conjecture of Hartley was verified, n…amely, if U(FG) satisfies a group identity, and G is torsion, then FG satisfies a polynomial identity. Necessary and sufficient conditions for U(FG) to satisfy a group identity soon followed.Since the late 1990s, many papers have been devoted to the study of the symmetric units; that is, those units u satisfying u\* = u, where \* is the involution on FG defined by sending each element of G to its inverse. The conditions under which these symmetric units satisfy a group identity have now been determined.This book presents these results for arbitrary group identities, as well as the conditions under which the unit group or the set of symmetric units satisfies several particular group identities of interest.

Lingua: Inglese
Editore: SPRINGER NATURE 2010
Serie: Algebra and Applications, Libro 11 di 29. Libro 11 di 29 - Algebra and Applications
- Rilegato
Da: Buchpark, Trebbin, , GermaniaBuchpark
Contatta il venditoreVenditore con 5 stelleCondizione: Usato - Ottimo
EUR 44,22
EUR 105,00 spedizioneSpedito da Germania a U.S.A.Quantità: 1 disponibili
Condizione: Sehr gut. Zustand: Sehr gut | Sprache: Englisch | Produktart: Bücher | Keine Beschreibung verfügbar.

Lingua: Inglese
Editore: SPRINGER NATURE Sep 2010 2010
Serie: Algebra and Applications, Libro 11 di 29. Libro 11 di 29 - Algebra and Applications
- Rilegato
- Print on Demand
Da: BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, , GermaniaBuchWeltWeit Ludwig Meier e.K.
Contatta il venditoreVenditore con 5 stelleCondizione: Nuovo
EUR 53,49
EUR 23,00 spedizioneSpedito da Germania a U.S.A.Quantità: 2 disponibili
Buch. Condizione: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -Let FG be the group ring of a group G over a field F. Write U(FG) for the group of units of FG. It is an important problem to determine the conditions under which U(FG) satisfies a group identity. In the mid 1990s, a conjecture of Hartley… was verified, namely, if U(FG) satisfies a group identity, and G is torsion, then FG satisfies a polynomial identity. Necessary and sufficient conditions for U(FG) to satisfy a group identity soon followed.Since the late 1990s, many papers have been devoted to the study of the symmetric units; that is, those units u satisfying u\* = u, where \* is the involution on FG defined by sending each element of G to its inverse. The conditions under which these symmetric units satisfy a group identity have now been determined.This book presents these results for arbitrary group identities, as well as the conditions under which the unit group or the set of symmetric units satisfies several particular group identities of interest. 196 pp. Englisch.