Calculating Invariant Rings of Finite Groups over Arbitrary Fields

Calculating Invariant Rings of Finite Groups over Arbitrary Fields
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DOI:
10.1006/jsco.1996.0017
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发表时间:
1996-03
期刊:
J. Symb. Comput.
影响因子:
--
通讯作者:
G. Kemper
G. Kemper
中科院分区:
其他
文献类型:
--
作者:
G. Kemper

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Abstract An algorithm is presented which calculates rings of polynomial invariants of finite linear groups over an arbitrary field K . Up to now, such algorithms have been available only for the case that the characteristic of K does not divide the group order. Some applications to the question whether a modular invariant ring is Cohen—Macaulay or isomorphic to a polynomial ring are discussed.