Improved methods for the construction of relative invariants for permutation groups

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• 作者：Andreas-Stephan Elsenhans ^{elsenhan@math.uni-paderborn.de" class="auth_mail" title="E-mail the corresponding author}
• 关键词：Computation of Galois groups ; Explicit invariants ; Permutation groups
• 刊名：Journal of Symbolic Computation
• 出版年：2017
• 出版时间：March-April 2017
• 年：2017
• 卷：79
• 期：part_P2
• 页码：211-231
• 全文大小：437 K

文摘

An invariant of a group U   is called a relative invariant of 16000146&_mathId=si1.gif&_user=111111111&_pii=S0747717116000146&_rdoc=1&_issn=07477171&md5=61cdc104a5bc9075defda01563887931" title="Click to view the MathML source">U⊊G$U⊊G$ if its stabilizer in G is U. The computation of Galois groups requires the construction of such invariants for permutation groups. This article reports on the constructions that are implemented in the Galois group package of magma 2.20.