Geodesic
On local weak crossed product orders
Th. Theohari-Apostolidi 1   ; A. Tompoulidou 1
1 School of Mathematics Aristotle University of Thessaloniki Thessaloniki 54124, Greece
Colloquium Mathematicum, Tome 135 (2014) no. 1, pp. 53-68 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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Let $\varLambda =(S/R,\alpha )$ be a local weak crossed product order in the crossed product algebra $A=(L/K,\alpha )$ with integral cocycle, and $H=\{\sigma \in \operatorname{Gal} (L/K)\mid \alpha (\sigma ,\sigma ^{-1})\in S^{*}\}$ the inertial group of $\alpha $, for $S^{*}$ the group of units of $S$. We give a condition for the first ramification group of $L/K$ to be a subgroup of $H$. Moreover we describe the Jacobson radical of $\varLambda $ without restriction on the ramification of $L/K$.
DOI : 10.4064/cm135-1-4
Keywords: varlambda alpha local weak crossed product order crossed product algebra alpha integral cocycle sigma operatorname gal mid alpha sigma sigma * inertial group alpha * group units condition first ramification group subgroup moreover describe jacobson radical varlambda without restriction ramification

Th. Theohari-Apostolidi  1   ; A. Tompoulidou  1

1 School of Mathematics Aristotle University of Thessaloniki Thessaloniki 54124, Greece 
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Th. Theohari-Apostolidi; A. Tompoulidou. On local weak crossed product orders. Colloquium Mathematicum, Tome 135 (2014) no. 1, pp. 53-68. doi: 10.4064/cm135-1-4

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