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Z .Journal of Algebra 217, 249 274 1999 Article ID jabr.1998.7783, available online at http:rrwww.idealibrary.com on
 

Summary: Z .Journal of Algebra 217, 249 274 1999
Article ID jabr.1998.7783, available online at http:rrwww.idealibrary.com on
Projective Representations and Relative Semisimplicity
E. Aljadeff and U. Onn
Department of Mathematics, Technion, Haifa 32000, Israel
and
Y. Ginosar
Department of Mathematics, Brandeis Unišersity, Waltham, Massachusetts 02254-9110
Communicated by D. A. Buchsbaum
Received March 27, 1998
DEDICATED TO DEREK J. S. ROBINSON ON THE OCCASION
OF HIS 60TH BIRTHDAY
Z .Let R be a local commutative ring and let p be a prime not invertible in R.
Let G be a finite group of order divisible by p. It is well known that the group ring
Z .RG admits nonprojective lattices e.g., R itself with the trivial action . For any
2Z .element g H G, R* one can form the twisted group ring R G. The ``twisting
problem'' asks whether there exists a class s.t. the corresponding twisted group
ring admits only projective lattices. For fields of characteristic p, the answer is in
w Z . xE. Aljadeff and D. J. S. Robinson J. Pure Appl. Algebra 94 1994 , 1 15 . Here we
answer this question for rings of the form s, s G 2. The main tools are thep

  

Source: Aljadeff, Eli - Department of Mathematics, Technion, Israel Institute of Technology

 

Collections: Mathematics