GROUP RINGS WHOSE SYMMETRIC UNITS GENERATE AN n-ENGEL GROUP

被引：0

作者：

Lee, Gregory T. ^{[1
]}

Spinelli, Ernesto ^{[2
]}

机构：

[1] Lakehead Univ, Dept Math Sci, Thunder Bay, ON P7B 5E1, Canada

[2] Univ Salento, Dipartimento Matemat E De Giorgi, Lecce, Italy

来源：

COMMUNICATIONS IN ALGEBRA | 2010年 / 38卷 / 11期

关键词：

Group identity; Group ring; Symmetric units; n-Engel; GROUP-ALGEBRAS; GROUP IDENTITY; SATISFY;

D O I：

10.1080/00927870903286918

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let F be an infinite field of characteristic different from 2 and G a torsion group. Write u(+)(FG) for the set of units in the group ring FG that are symmetric with respect to the classical involution induced from the map g -> g(-1), for all g is an element of G. We classify the groups such that < u(+)(FG)> is n-Engel.

引用

页码：4056 / 4062

页数：7

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