The Noether number of p-groups

被引：3
|
作者：
Cziszter, Kalman [1 ]
机构：
[1] Hungarian Acad Sci, Alfred Renyi Inst Math, Realtanoda U 13-15, H-1053 Budapest, Hungary
来源：
JOURNAL OF ALGEBRA AND ITS APPLICATIONS | 2019年 / 18卷 / 04期
关键词：
Polynomial invariants; degree bounds; zero-sum sequences; DAVENPORT CONSTANT; INVARIANT-THEORY;
D O I：
10.1142/S021949881950066X
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A group of order p(n) (p prime) has an indecomposable polynomial invariant of degree at least p(n-1) if and only if the group has a cyclic subgroup of index at most p or it is isomorphic to the elementary abelian group of order 8 or the Heisenberg group of order 27.
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页数：14
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