Torsion units in the integral group ring of the alternating group of degree 6

Mohamed Ahmed M. Salim

doi:10.1080/00927870701545069

Torsion units in the integral group ring of the alternating group of degree 6

Mohamed Ahmed M. Salim

Department of Mathematical Sciences

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

12 Citations (Scopus)

Abstract

It was conjectured by H. Zassenhaus that a torsion unit of an integral group ring G of a finite group G conjugates to a group element within the rational group algebra G. We investigate the Zassenhaus Conjecture (ZC) and a conjecture by W. Kimmerle about prime graph in the normalized unit group of A6.

Original language	English
Pages (from-to)	4198-4204
Number of pages	7
Journal	Communications in Algebra
Volume	35
Issue number	12
DOIs	https://doi.org/10.1080/00927870701545069
Publication status	Published - Dec 2007

Keywords

Alternating groups
Group of units
Integral group rings
Kimmerle's conjecture
Zassenhaus conjecture

ASJC Scopus subject areas

Algebra and Number Theory

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10.1080/00927870701545069

Cite this

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abstract = "It was conjectured by H. Zassenhaus that a torsion unit of an integral group ring G of a finite group G conjugates to a group element within the rational group algebra G. We investigate the Zassenhaus Conjecture (ZC) and a conjecture by W. Kimmerle about prime graph in the normalized unit group of A6.",

keywords = "Alternating groups, Group of units, Integral group rings, Kimmerle's conjecture, Zassenhaus conjecture",

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N2 - It was conjectured by H. Zassenhaus that a torsion unit of an integral group ring G of a finite group G conjugates to a group element within the rational group algebra G. We investigate the Zassenhaus Conjecture (ZC) and a conjecture by W. Kimmerle about prime graph in the normalized unit group of A6.

AB - It was conjectured by H. Zassenhaus that a torsion unit of an integral group ring G of a finite group G conjugates to a group element within the rational group algebra G. We investigate the Zassenhaus Conjecture (ZC) and a conjecture by W. Kimmerle about prime graph in the normalized unit group of A6.

KW - Alternating groups

KW - Group of units

KW - Integral group rings

KW - Kimmerle's conjecture

KW - Zassenhaus conjecture

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UR - https://www.scopus.com/pages/publications/37349113862#tab=citedBy

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JO - Communications in Algebra

JF - Communications in Algebra

IS - 12

ER -

Torsion units in the integral group ring of the alternating group of degree 6

Abstract

Keywords

ASJC Scopus subject areas

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