Integral group ring of the Mathieu simple group M23

V. A. Bovdi; A. B. Konovalov

doi:10.1080/00927870802068045

Integral group ring of the Mathieu simple group M23

V. A. Bovdi
, A. B. Konovalov

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

18 Citations (Scopus)

Abstract

We investigate the classical Zassenhaus conjecture for the unit group of the integral group ring of Mathieu simple group M23 using the Luthar-Passi method. This work is a continuation of the research that we carried out for Mathieu groups M11 and M12. As a consequence, for this group we confirm Kimmerle's conjecture on prime graphs.

Original language	English
Pages (from-to)	2670-2680
Number of pages	11
Journal	Communications in Algebra
Volume	36
Issue number	7
DOIs	https://doi.org/10.1080/00927870802068045
Publication status	Published - Jul 2008
Externally published	Yes

Keywords

Integral group ring
Kimmerle conjecture
Partial augmentation
Torsion unit
Zassenhaus conjecture

ASJC Scopus subject areas

Algebra and Number Theory

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10.1080/00927870802068045

Cite this

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title = "Integral group ring of the Mathieu simple group M23",

abstract = "We investigate the classical Zassenhaus conjecture for the unit group of the integral group ring of Mathieu simple group M23 using the Luthar-Passi method. This work is a continuation of the research that we carried out for Mathieu groups M11 and M12. As a consequence, for this group we confirm Kimmerle's conjecture on prime graphs.",

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

author = "Bovdi, \{V. A.\} and Konovalov, \{A. B.\}",

note = "Funding Information: The authors are grateful to Dr. Steve Linton and Dr. Tom Kelsey from the University of St. Andrews for their advice with computational issues. The research was supported by OTKA grants No. K68383, No. T037202, No. T038059 and Francqui Stichting (Belgium) grant ADSI107.",

year = "2008",

month = jul,

doi = "10.1080/00927870802068045",

language = "English",

volume = "36",

pages = "2670--2680",

journal = "Communications in Algebra",

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publisher = "Taylor and Francis Ltd.",

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TY - JOUR

T1 - Integral group ring of the Mathieu simple group M23

AU - Bovdi, V. A.

AU - Konovalov, A. B.

N1 - Funding Information: The authors are grateful to Dr. Steve Linton and Dr. Tom Kelsey from the University of St. Andrews for their advice with computational issues. The research was supported by OTKA grants No. K68383, No. T037202, No. T038059 and Francqui Stichting (Belgium) grant ADSI107.

PY - 2008/7

Y1 - 2008/7

N2 - We investigate the classical Zassenhaus conjecture for the unit group of the integral group ring of Mathieu simple group M23 using the Luthar-Passi method. This work is a continuation of the research that we carried out for Mathieu groups M11 and M12. As a consequence, for this group we confirm Kimmerle's conjecture on prime graphs.

AB - We investigate the classical Zassenhaus conjecture for the unit group of the integral group ring of Mathieu simple group M23 using the Luthar-Passi method. This work is a continuation of the research that we carried out for Mathieu groups M11 and M12. As a consequence, for this group we confirm Kimmerle's conjecture on prime graphs.

KW - Integral group ring

KW - Kimmerle conjecture

KW - Partial augmentation

KW - Torsion unit

KW - Zassenhaus conjecture

UR - https://www.scopus.com/pages/publications/45949088679

UR - https://www.scopus.com/pages/publications/45949088679#tab=citedBy

U2 - 10.1080/00927870802068045

DO - 10.1080/00927870802068045

M3 - Article

AN - SCOPUS:45949088679

SN - 0092-7872

VL - 36

SP - 2670

EP - 2680

JO - Communications in Algebra

JF - Communications in Algebra

IS - 7

ER -

Integral group ring of the Mathieu simple group M23

Abstract

Keywords

ASJC Scopus subject areas

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