On the Lower Bound of the Derived Length of the Unit Group of a Nontorsion Group Algebra

被引：2

作者：

Juhasz, Tibor ^{[1
]}

Lee, Gregory T. ^{[2
]}

Sehgal, Sudarshan K. ^{[3
]}

Spinelli, Ernesto ^{[4
]}

机构：

[1] Eszterhazy Karoly Univ, Inst Math & Informat, Leanyka U 4, H-3300 Eger, Hungary

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

[3] Univ Alberta, Dept Math & Stat Sci, Edmonton, AB T6G 2G1, Canada

[4] Univ Roma La Sapienza, Dipartimento Matemat G Castelnuovo, Ple Aldo Moro 5, I-00185 Rome, Italy

来源：

ALGEBRAS AND REPRESENTATION THEORY | 2020年 / 23卷 / 02期

关键词：

Group ring; Unit group; Derived length;

D O I：

10.1007/s10468-019-09855-x

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let G be a nonabelian nilpotent group and F a field of characteristic p > 2, such that the unit group U(FG) of the group ring FG is solvable and G contains a p-element. Here we provide a lower bound for the derived length of U(FG) that corrects the result from Lee et al. (Algebr. Represent. Theory 17, 1597-1601 2014) when G is nontorsion and G' is a finite p-group.

引用

页码：457 / 466

页数：10

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