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CATEGORIES:Algebra seminar
SUMMARY:Modular invariant theory and Galois ring extension
s - Peter Fleischmann\, University of Kent
DTSTART:20161110T160000Z
DTEND:20161110T170000Z
UID:TALK2211AT
URL:/talk/index/2211
DESCRIPTION:This is joint work with C.F. Woodcock (Kent). We i
nvestigate\ntrace surjective commutative _G_-algeb
ras in characteristic _p_>0\, defined by non-linea
r actions of finite _p_-groups. These arise in the
analysis of dehomogenized modular invariant rings
and related localizations. We describe criteria f
or such a dehomogenized invariant ring to be a pol
ynomial ring or stably polynomial. Among other thi
ngs it turns out that every finite _p_-group has a
faithful\n(non-linear) representation on a polyno
mial ring with invariant ring being again a polyno
mial ring. This is in contrast to homogeneous line
ar actions\, where\, due to a result of Serre\, th
e graded invariants can only form a polynomial rin
g\, if _G_ is generated by pseudo-reflections.
LOCATION:Physics West Seminar Room 2 (Room 106)
CONTACT:David Craven
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