Prime ideals in group algebras of polycyclic-by-finite groups : Vertices and sources

1981 ◽  
pp. 406-420 ◽  
Author(s):  
Martin Lorenz
Keyword(s):  
Finite Groups ◽  
Group Algebras ◽  
Prime Ideals

scholarly journals Centers and prime ideals in group algebras of polycyclic-by-finite groups

1979 ◽  
Vol 57 (2) ◽  
pp. 355-386 ◽  
Author(s):  
Martin Lorenz ◽  
D.S Passman
Keyword(s):  
Finite Groups ◽  
Group Algebras ◽  
Prime Ideals

A SURVEY ON FREE SUBGROUPS IN THE GROUP OF UNITS OF GROUP RINGS

2013 ◽  
Vol 12 (06) ◽  
pp. 1350004 ◽  
Author(s):  
JAIRO Z. GONÇALVES ◽  
ÁNGEL DEL RÍO
Keyword(s):  
Finite Groups ◽  
Free Groups ◽  
Group Algebras ◽  
Group Rings ◽  
Integral Group ◽  
Natural Group ◽  
Integral Group Rings ◽  
Group Of Units ◽  
Survey Results ◽  
Free Subgroups

In this survey we revise the methods and results on the existence and construction of free groups of units in group rings, with special emphasis in integral group rings over finite groups and group algebras. We also survey results on constructions of free groups generated by elements which are either symmetric or unitary with respect to some involution and other results on which integral group rings have large subgroups which can be constructed with free subgroups and natural group operations.

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