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Degree bounds for algebra generators of invariant rings are a topic of longstanding interest in invariant theory.
Theory of groups of finite order
William Burnside · 1911
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Rationale funktionenkörper
Emmy Noether · 1913
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Der endlichkeitssatz der invarianten endlicher gruppen
Emmy Noether · 1915
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On the fixed field of a linear abelian group
A Charnow · 1969
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Hilbert functions of graded algebras
Richard P Stanley · 1978
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Polynomial invariants of finite linear groups of degree two
W Cary Huffman · 1980
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Noether’s problem in Galois theory
Richard G Swan · 1983
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Rational function fields. Noether’s problem and related questions
E Formanek · 1984
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Groups acting on fields: Noether’s problem
David J Saltman · 1985
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The brauer group of quotient spaces by linear group actions
Fedor Alekseevich Bogomolov · 1987
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Geometry of numbers
Cornelis Gerrit Lekkerkerker and Peter M Gruber · 1987
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Finite groups and invariant theory
Barbara J Schmid · 1991
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Vladimir L Popov and Ernest B Vinberg · 1994
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A constructive approach to Noether’s problem
Gregor Kemper · 1996
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David R Richman · 1996
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E. Noether’s bound in the invariant theory of finite groups
Larry Smith · 1996
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Cohen-Macaulay rings
Winfried Bruns and H Jürgen Herzog · 1998
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Calculating generators for invariant fields of linear algebraic groups
Jörn Müller-Quade and Thomas Beth · 1999
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Noether’s bound for polynomial invariants of finite groups
Mátyás Domokos and Pál Hegedűs · 2000
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The Noether bound in invariant theory of finite groups
Peter Fleischmann · 2000
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On a theorem of Barbara Schmid
Larry Smith · 2000
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Algebraic invariants of graphs; a study based on computer exploration
Nicolas M Thiéry · 2000
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On Noether’s bound for polynomial invariants of a finite group
John Fogarty · 2001
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Sharpening the generalized Noether bound in the invariant theory of finite groups
Müfit Sezer · 2002
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On Noether’s and Weyl’s bound in positive characteristic
Friedrich Knop · 2004
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Combinatorial commutative algebra
Ezra Miller and Bernd Sturmfels · 2005
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The Noether numbers for cyclic groups of prime order
Peter Fleischmann, M Sezer, R James Shank, and Chris F Woodcock · 2006
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Smooth and algebraic invariants of a group action: local and global constructions
Evelyne Hubert and Irina A Kogan · 2007
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Gregor Kemper · 2007
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Polarization of separating invariants
Jan Draisma, Gregor Kemper, and David Wehlau · 2008
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Invariant polynomials and minimal zero sequences
Bryson Finklea, Terri Moore, Vadim Ponomarenko, and Zachary Turner · 2008
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The Cohen–Macaulay property of separating invariants of finite groups
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Sample complexity of the boolean multireference alignment problem
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Degree bound for separating invariants of abelian groups
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Separating invariants
Gregor Kemper · 2009
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Unitary reflection groups
Gustav I Lehrer and Donald E Taylor · 2009
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Separating invariants for modular p-groups and groups acting diagonally
Mara D Neusel and Müfit Sezer · 2009
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Constructing modular separating invariants
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Optimal rates of estimation for multi-reference alignment
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Symmetric polynomials over finite fields
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