Torsion units in integral group ring of Higman-Sims simple group

Victor A. Bovdi; Alexander B. Konovalov

doi:10.1556/SScMath.2009.1102

Torsion units in integral group ring of Higman-Sims simple group

Victor A. Bovdi, Alexander B. Konovalov

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

17 Citations (Scopus)

Abstract

Using the Luthar-Passi method, we investigate the classical Zassenhaus conjecture for the normalized unit group of the integral group ring of the Higman-Sims simple sporadic group HS. As a consequence, we confirm Kimmerle's conjecture on prime graphs for this sporadic group.

Original language	English
Pages (from-to)	1-11
Number of pages	11
Journal	Studia Scientiarum Mathematicarum Hungarica
Volume	47
Issue number	1
DOIs	https://doi.org/10.1556/SScMath.2009.1102
Publication status	Published - Mar 1 2010
Externally published	Yes

Keywords

Integral group ring
Kimmerle conjecture
Partial augmentation
Torsion unit
Zassenhaus conjecture

ASJC Scopus subject areas

General Mathematics

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10.1556/SScMath.2009.1102

Cite this

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title = "Torsion units in integral group ring of Higman-Sims simple group",

abstract = "Using the Luthar-Passi method, we investigate the classical Zassenhaus conjecture for the normalized unit group of the integral group ring of the Higman-Sims simple sporadic group HS. As a consequence, we confirm Kimmerle's conjecture on prime graphs for this sporadic group.",

keywords = "Integral group ring, Kimmerle conjecture, Partial augmentation, Torsion unit, Zassenhaus conjecture",

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year = "2010",

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AU - Bovdi, Victor A.

AU - Konovalov, Alexander B.

PY - 2010/3/1

Y1 - 2010/3/1

N2 - Using the Luthar-Passi method, we investigate the classical Zassenhaus conjecture for the normalized unit group of the integral group ring of the Higman-Sims simple sporadic group HS. As a consequence, we confirm Kimmerle's conjecture on prime graphs for this sporadic group.

AB - Using the Luthar-Passi method, we investigate the classical Zassenhaus conjecture for the normalized unit group of the integral group ring of the Higman-Sims simple sporadic group HS. As a consequence, we confirm Kimmerle's conjecture on prime graphs for this sporadic group.

KW - Integral group ring

KW - Kimmerle conjecture

KW - Partial augmentation

KW - Torsion unit

KW - Zassenhaus conjecture

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Torsion units in integral group ring of Higman-Sims simple group

Abstract

Keywords

ASJC Scopus subject areas

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