Weak crossed product orders arising from partitions of a finite group

2019/09/25 by Lamprakis, Christos, Theohari-Apostolidi, Theodora
#11S45 #16H05 #FOS: Mathematics #Primary 16S35 #Rings and Algebras (math.RA) #Secondary 16W50

paper · doi:10.48550/arxiv.1909.11405

Abstract

Let R be a complete discrete valuation ring with quotient field K, L a finite Galois extension of K with Galois group G and S the integral closure of R in L. In this article, using elements of the monoid Sl(G), the set of semilinear maps of G on the set of natural numbers introduced in [8], we construct certain crossed product orders in the case that the extension S/R is unramified. We associate an element of Sl(G) to every crossed product order and give a criterion for inflating idempotent 2-cocycles.

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