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- W197214471 abstract "In Section I we describe the machinery that has been developed to study prime ideals in K[G] whith G polycyclic-by-finite. We briefly discuss Roseblade's fundamental work on group algebras of orbitally sound groups and its extension to general polycyclic-by-finite groups by Passman and the author. Although crossed products have played an important role here and some results do in fact hold in this more general setting, we will concentrate on group algebras here. Sections 2 and 3 contain previously unpublished material. The main purpose of these sections is to illustrate the notions of vertex and source for prime ideals in K[G] that were introduced in [4] . Our general point of view in Section 2 is to consider the vertex of a prime P as being given and derive information about P . In particular, we will describe the set SpecH(K [G] ) of all prime ideals in K [G ] having" @default.
- W197214471 created "2016-06-24" @default.
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- W197214471 date "1981-01-01" @default.
- W197214471 modified "2023-10-16" @default.
- W197214471 title "Prime ideals in group algebras of polycyclic-by-finite groups : Vertices and sources" @default.
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- W197214471 doi "https://doi.org/10.1007/bfb0090396" @default.
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