Group Identities on Units and Symmetric Units of Group Rings
Produktnummer:
18d40df21d13ec418f80e73c4c6833624e
| Autor: | Lee, Gregory T |
|---|---|
| Themengebiete: | Group identities Group rings Involutions Lie Prime Symmetric elements Units field group identity |
| Veröffentlichungsdatum: | 05.11.2012 |
| EAN: | 9781447125891 |
| Sprache: | Englisch |
| Seitenzahl: | 196 |
| Produktart: | Kartoniert / Broschiert |
| Verlag: | Springer London |
Produktinformationen "Group Identities on Units and Symmetric Units of Group Rings"
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.
Sie möchten lieber vor Ort einkaufen?
Sie haben Fragen zu diesem oder anderen Produkten oder möchten einfach gerne analog im Laden stöbern? Wir sind gerne für Sie da und beraten Sie auch telefonisch.
Juristische Fachbuchhandlung
Georg Blendl
Parcellistraße 5 (Maxburg)
8033 München
Montag - Freitag: 8:15 -18 Uhr
Samstags geschlossen