Group Algebras and Algebras of Golod-shafarevich

  • PLAMEN N. SIDEROV
  • Published 2010

Abstract

In [2], Golod, using results of Golod and Shafarevich ¡1], has constructed a finitely generated algebra A = K(y\,... ,yd), over any field K, such that the ideal generated by yi,..., y¿ is nil, but dim^ A = oo. Moreover, when char K = p > 0, the subgroup G of the group of units of A, generated by 1 + yi,..., 1 + yd, is an infinite p-group. The main purpose… (More)

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