On local weak crossed product orders

Th. Theohari-Apostolidi, and A. Tompoulidou. "On local weak crossed product orders." Colloquium Mathematicae 135.1 (2014): 53-68. <http://eudml.org/doc/283481>.

@article{Th2014,
abstract = {Let Λ = (S/R,α) be a local weak crossed product order in the crossed product algebra A = (L/K,α) with integral cocycle, and $H = \{σ ∈ Gal(L/K) | α(σ,σ^\{-1\}) ∈ S*\}$ the inertial group of α, 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 Λ without restriction on the ramification of L/K.},
author = {Th. Theohari-Apostolidi, A. Tompoulidou},
journal = {Colloquium Mathematicae},
keywords = {crossed products; crossed product orders; ramification theory; crossed product algebras},
language = {eng},
number = {1},
pages = {53-68},
title = {On local weak crossed product orders},
url = {http://eudml.org/doc/283481},
volume = {135},
year = {2014},
}

TY - JOUR
AU - Th. Theohari-Apostolidi
AU - A. Tompoulidou
TI - On local weak crossed product orders
JO - Colloquium Mathematicae
PY - 2014
VL - 135
IS - 1
SP - 53
EP - 68
AB - Let Λ = (S/R,α) be a local weak crossed product order in the crossed product algebra A = (L/K,α) with integral cocycle, and $H = {σ ∈ Gal(L/K) | α(σ,σ^{-1}) ∈ S*}$ the inertial group of α, 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 Λ without restriction on the ramification of L/K.
LA - eng
KW - crossed products; crossed product orders; ramification theory; crossed product algebras
UR - http://eudml.org/doc/283481
ER -