The derived length of Lie soluble group rings I

Aner Shalev

doi:10.1016/0022-4049(92)90111-R

The derived length of Lie soluble group rings I

Aner Shalev^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

22 Scopus citations

Abstract

Let KG be a Lie soluble group ring of positive characteristic. Some results relating the derived length of KG to the structure of G are described. In particular, it is shown that, if the derived length of KG is at most n and char(K) > 2ⁿ, then G is abelian.

Original language	English
Pages (from-to)	291-300
Number of pages	10
Journal	Journal of Pure and Applied Algebra
Volume	78
Issue number	3
DOIs	https://doi.org/10.1016/0022-4049(92)90111-R
State	Published - 20 Apr 1992
Externally published	Yes

Access to Document

10.1016/0022-4049(92)90111-R

Cite this

@article{d5b70cefc981490fabdc763517b60db0,

title = "The derived length of Lie soluble group rings I",

abstract = "Let KG be a Lie soluble group ring of positive characteristic. Some results relating the derived length of KG to the structure of G are described. In particular, it is shown that, if the derived length of KG is at most n and char(K) > 2n, then G is abelian.",

author = "Aner Shalev",

year = "1992",

month = apr,

day = "20",

doi = "10.1016/0022-4049(92)90111-R",

language = "אנגלית",

volume = "78",

pages = "291--300",

journal = "Journal of Pure and Applied Algebra",

issn = "0022-4049",

publisher = "Elsevier B.V.",

number = "3",

}

TY - JOUR

T1 - The derived length of Lie soluble group rings I

AU - Shalev, Aner

PY - 1992/4/20

Y1 - 1992/4/20

N2 - Let KG be a Lie soluble group ring of positive characteristic. Some results relating the derived length of KG to the structure of G are described. In particular, it is shown that, if the derived length of KG is at most n and char(K) > 2n, then G is abelian.

AB - Let KG be a Lie soluble group ring of positive characteristic. Some results relating the derived length of KG to the structure of G are described. In particular, it is shown that, if the derived length of KG is at most n and char(K) > 2n, then G is abelian.

UR - https://www.scopus.com/pages/publications/38249013243

U2 - 10.1016/0022-4049(92)90111-R

DO - 10.1016/0022-4049(92)90111-R

M3 - ???researchoutput.researchoutputtypes.contributiontojournal.article???

AN - SCOPUS:38249013243

SN - 0022-4049

VL - 78

SP - 291

EP - 300

JO - Journal of Pure and Applied Algebra

JF - Journal of Pure and Applied Algebra

IS - 3

ER -

The derived length of Lie soluble group rings I

Abstract

Access to Document

Other files and links

Fingerprint

Cite this