Last Updated：2022/12/24
In the 2002 Durham Symposium, Markus Linckelmann conjectured the existence of a regular central k*-extension of the full subcategory over the selfcentralizing Brauer pairs of the Frobenius P-category associated with a block of defect group P of a finite group G which would include, as k*-automorphism groups of the objects, the k*-groups associated with the automizers of the corresponding selfcentralizing Brauer pairs.
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In
the
2002
Durham
Symposium,
Markus
Linckelmann
conjectured
the
existence
of
a
regular
central
k*-extension
of
the
full
subcategory
over
the
selfcentralizing
Brauer
pairs
of
the
Frobenius
P-category
associated
with
a
block
of
defect
group
P
of
a
finite
group
G
which
would
include,
as
k*-automorphism
groups
of
the
objects,
the
k*-groups
associated
with
the
automizers
of
the
corresponding
selfcentralizing
Brauer
pairs.
