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PERIODIC FLAT MODULES, AND FLAT MODULES FOR FINITE GROUPS D. J. BENSON AND K. R. GOODEARL
 

Summary: 



PERIODIC FLAT MODULES, AND FLAT MODULES FOR FINITE GROUPS



D. J. BENSON AND K. R. GOODEARL



Abstract.If R is a ring of coefficients and G a finite group, then a flat*
* RG-module which is
projective as an R-module is necessarily projective as an RG-module. More*
* generally, if H is a
subgroup of finite index in an arbitrary group , then a flat R -module w*
*hich is projective as an
RH-module is necessarily projective as an R -module. This follows from a *
*generalization of the

  

Source: Akhmedov, Azer - Department of Mathematics, University of California at Santa Barbara

 

Collections: Mathematics