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@PHDTHESIS{Lange:681713,
author = {Lange, Corinna},
othercontributors = {Nebe, Gabriele Charlotte and Plesken, Wilhelm},
title = {{L}ifting properties of blocks},
school = {RWTH Aachen University},
type = {Dissertation},
address = {Aachen},
reportid = {RWTH-2017-00375},
pages = {1 Online-Ressource (141 Seiten)},
year = {2016},
note = {Veröffentlicht auf dem Publikationsserver der RWTH Aachen
University 2017; Dissertation, RWTH Aachen University, 2016},
abstract = {We consider blocks of group algebras of finite groups over
a complete discrete valuation ring R with the goal of giving
an explicit description of the basic algebra of the block.
In the cases we study, we use the structure of the
corresponding algebra over the residue field in positive
characteristic and construct lifts of that algebra. We also
impose certain rational conditions fulfilled by the block
over R on the lift. Subsequently we show that the
constructed lift is the unique lift fulfilling those
conditions and thereby know that it is isomorphic to the
basic algebra. We apply this method to blocks of
semidihedral defect and to defect 3 blocks of symmetric
groups.},
cin = {114820 / 110000},
ddc = {510},
cid = {$I:(DE-82)114820_20140620$ / $I:(DE-82)110000_20140620$},
typ = {PUB:(DE-HGF)11},
urn = {urn:nbn:de:hbz:82-rwth-2017-003753},
doi = {10.18154/RWTH-2017-00375},
url = {https://publications.rwth-aachen.de/record/681713},
}