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 class="mathmlsrc">class="formulatext stixSupport mathImg" data-mathURL="/science?_ob=MathURL&_method=retrieve&_eid=1-s2.0-S0747717116000146&_mathId=si1.gif&_user=111111111&_pii=S0747717116000146&_rdoc=1&_issn=07477171&md5=61cdc104a5bc9075defda01563887931" title="Click to view the MathML source">U⊊Gclass="mathContainer hidden">class="mathCode">$U⊊G$ 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 class="smallcaps">magma 2.20.