Automorphism groups of truncated polynomial algebras

被引:0
|
作者
Deo, S
Maitra, JK
机构
来源
NATIONAL ACADEMY SCIENCE LETTERS-INDIA | 1997年 / 20卷 / 5-6期
关键词
truncated polynomial algebras; automorphism group; Wreath product;
D O I
暂无
中图分类号
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号
07 ; 0710 ; 09 ;
摘要
The automorphism group Aut (A*) of a finitely generated graded commutative algebra A* over a field F of characteristic zero has been studied. In case A* is free and the set S of generators satisfies the condition that the product of any two elements of S is outside of S, then we show that Aut (A*) is isomorphic to a product of general linear group over F. On the other hand, if A* is truncated, then without any condition on S we prove that Aut (A*) is the direct product of certain Wreath products.
引用
收藏
页码:75 / 80
页数:6
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