Invariant Theory of Finite Groups
Invariant Theory of Finite Groups
Invariant Theory of Finite Groups
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<strong>Invariant</strong> <strong>Theory</strong> <strong>of</strong> <strong>Finite</strong> <strong>Groups</strong> – p. 18/2General QuestionsI. Constructive Complexity <strong>of</strong> A Ggenerators and relations for algebra A G(fundamental systems <strong>of</strong> invariants)degree bounds (for generators and/or relations)II. Structural complexity <strong>of</strong> A Gwhen is A G polynomial ring?distance <strong>of</strong> A G from being a polynomial ringdistance <strong>of</strong> A G from being free as module over hsopcohomological co - dimension: depth(A G )