Lie derived lengths of group algebras of groups with cyclic derived subgroup

Zsolt Balogh; Tibor Juhász

doi:10.1080/00927870701713055

Lie derived lengths of group algebras of groups with cyclic derived subgroup

Zsolt Balogh
, Tibor Juhász

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

5 Citations (Scopus)

Abstract

In this article the Lie derived length and the strong Lie derived length of group algebras are determined in the case when the derived subgroup of the basic group is cyclic of odd order. As a consequence, we have the characterization of the group algebras of minimal strong Lie derived length.

Original language	English
Pages (from-to)	315-324
Number of pages	10
Journal	Communications in Algebra
Volume	36
Issue number	2
DOIs	https://doi.org/10.1080/00927870701713055
Publication status	Published - Feb 2008
Externally published	Yes

Keywords

Group algebras
Lie derived length

ASJC Scopus subject areas

Algebra and Number Theory

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10.1080/00927870701713055

Cite this

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title = "Lie derived lengths of group algebras of groups with cyclic derived subgroup",

abstract = "In this article the Lie derived length and the strong Lie derived length of group algebras are determined in the case when the derived subgroup of the basic group is cyclic of odd order. As a consequence, we have the characterization of the group algebras of minimal strong Lie derived length.",

keywords = "Group algebras, Lie derived length",

author = "Zsolt Balogh and Tibor Juh{\'a}sz",

note = "Funding Information: This research was supported by the National Office for Research and Technology (NKTH, Hungary).",

year = "2008",

month = feb,

doi = "10.1080/00927870701713055",

language = "English",

volume = "36",

pages = "315--324",

journal = "Communications in Algebra",

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T1 - Lie derived lengths of group algebras of groups with cyclic derived subgroup

AU - Balogh, Zsolt

AU - Juhász, Tibor

N1 - Funding Information: This research was supported by the National Office for Research and Technology (NKTH, Hungary).

PY - 2008/2

Y1 - 2008/2

N2 - In this article the Lie derived length and the strong Lie derived length of group algebras are determined in the case when the derived subgroup of the basic group is cyclic of odd order. As a consequence, we have the characterization of the group algebras of minimal strong Lie derived length.

AB - In this article the Lie derived length and the strong Lie derived length of group algebras are determined in the case when the derived subgroup of the basic group is cyclic of odd order. As a consequence, we have the characterization of the group algebras of minimal strong Lie derived length.

KW - Group algebras

KW - Lie derived length

UR - https://www.scopus.com/pages/publications/41849108804

UR - https://www.scopus.com/pages/publications/41849108804#tab=citedBy

U2 - 10.1080/00927870701713055

DO - 10.1080/00927870701713055

M3 - Article

AN - SCOPUS:41849108804

SN - 0092-7872

VL - 36

SP - 315

EP - 324

JO - Communications in Algebra

JF - Communications in Algebra

IS - 2

ER -

Lie derived lengths of group algebras of groups with cyclic derived subgroup

Abstract

Keywords

ASJC Scopus subject areas

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