Integral group ring of the Mathieu simple group M 12

V. A. Bovdi; A. B. Konovalov; S. Siciliano

doi:10.1007/BF03031434

Integral group ring of the Mathieu simple group M ₁₂

V. A. Bovdi
, A. B. Konovalov
, S. Siciliano

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

23 Citations (Scopus)

Abstract

We consider the Zassenhaus conjecture for the normalized unit group of the integral group ring of the Mathieu sporadic group M ₁₂. As a consequence, we confirm for this group the Kimmerle's conjecture on prime graphs.

Original language	English
Pages (from-to)	125-136
Number of pages	12
Journal	Rendiconti del Circolo Matematico di Palermo
Volume	56
Issue number	1
DOIs	https://doi.org/10.1007/BF03031434
Publication status	Published - Feb 2007
Externally published	Yes

Keywords

Kimmerle conjecture
Zassenhaus conjecture
integral group ring
partial augmentation
torsion unit

ASJC Scopus subject areas

General Mathematics

Access to Document

10.1007/BF03031434

Cite this

@article{5372d4c1750c4aaaa92fc34b9e00f429,

title = "Integral group ring of the Mathieu simple group M 12 ",

abstract = "We consider the Zassenhaus conjecture for the normalized unit group of the integral group ring of the Mathieu sporadic group M 12. As a consequence, we confirm for this group the Kimmerle's conjecture on prime graphs.",

keywords = "Kimmerle conjecture, Zassenhaus conjecture, integral group ring, partial augmentation, torsion unit",

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

note = "Funding Information: 1991 Mathematics Subject Classification: Primary 16S34, 20C05, secondary 20D08. Keys words and phrases. Zassenhaus conjecture, Kimmerle conjecture, torsion unit, partial augmentation, integral group ring. The research was supported by OTKA grants No.T 43034, No.K61007 and Francqui Stichting (Belgium) grant ADSI107.",

year = "2007",

month = feb,

doi = "10.1007/BF03031434",

language = "English",

volume = "56",

pages = "125--136",

journal = "Rendiconti del Circolo Matematico di Palermo",

issn = "0009-725X",

publisher = "Springer-Verlag Italia s.r.l.",

number = "1",

}

TY - JOUR

T1 - Integral group ring of the Mathieu simple group M 12

AU - Bovdi, V. A.

AU - Konovalov, A. B.

AU - Siciliano, S.

N1 - Funding Information: 1991 Mathematics Subject Classification: Primary 16S34, 20C05, secondary 20D08. Keys words and phrases. Zassenhaus conjecture, Kimmerle conjecture, torsion unit, partial augmentation, integral group ring. The research was supported by OTKA grants No.T 43034, No.K61007 and Francqui Stichting (Belgium) grant ADSI107.

PY - 2007/2

Y1 - 2007/2

N2 - We consider the Zassenhaus conjecture for the normalized unit group of the integral group ring of the Mathieu sporadic group M 12. As a consequence, we confirm for this group the Kimmerle's conjecture on prime graphs.

AB - We consider the Zassenhaus conjecture for the normalized unit group of the integral group ring of the Mathieu sporadic group M 12. As a consequence, we confirm for this group the Kimmerle's conjecture on prime graphs.

KW - Kimmerle conjecture

KW - Zassenhaus conjecture

KW - integral group ring

KW - partial augmentation

KW - torsion unit

UR - https://www.scopus.com/pages/publications/45149107943

UR - https://www.scopus.com/pages/publications/45149107943#tab=citedBy

U2 - 10.1007/BF03031434

DO - 10.1007/BF03031434

M3 - Article

AN - SCOPUS:45149107943

SN - 0009-725X

VL - 56

SP - 125

EP - 136

JO - Rendiconti del Circolo Matematico di Palermo

JF - Rendiconti del Circolo Matematico di Palermo

IS - 1

ER -