Integral group ring of the Suzuki sporadic simple group

Victor A. Bovdi; Alexander B. Konovalov; Eduardo Do Nascimento Marcos

Integral group ring of the Suzuki sporadic simple group

Victor A. Bovdi
, Alexander B. Konovalov
, Eduardo Do Nascimento Marcos

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

Abstract

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

Original language	English
Pages (from-to)	487-503
Number of pages	17
Journal	Publicationes Mathematicae Debrecen
Volume	72
Issue number	3-4
Publication status	Published - 2008
Externally published	Yes

Keywords

Integral group ring
Kimmerle conjecture
Partial augmentation
Torsion unit
Zassenhaus conjecture

ASJC Scopus subject areas

General Mathematics

Cite this

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title = "Integral group ring of the Suzuki sporadic 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 Suzuki sporadic simple group Suz. As a consequence, for this group we confirm the Kimmerle's conjecture on prime graphs.",

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

author = "Bovdi, \{Victor A.\} and Konovalov, \{Alexander B.\} and Marcos, \{Eduardo Do Nascimento\}",

year = "2008",

language = "English",

volume = "72",

pages = "487--503",

journal = "Publicationes Mathematicae Debrecen",

issn = "0033-3883",

publisher = "Institute of Mathematics, University of Debrecen",

number = "3-4",

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TY - JOUR

T1 - Integral group ring of the Suzuki sporadic simple group

AU - Bovdi, Victor A.

AU - Konovalov, Alexander B.

AU - Marcos, Eduardo Do Nascimento

PY - 2008

Y1 - 2008

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

AB - Using the Luthar-Passi method, we investigate the classical Zassenhaus conjecture for the normalized unit group of the integral group ring of the Suzuki sporadic simple group Suz. As a consequence, for this group we confirm the 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/45149092037

UR - https://www.scopus.com/pages/publications/45149092037#tab=citedBy

M3 - Article

AN - SCOPUS:45149092037

SN - 0033-3883

VL - 72

SP - 487

EP - 503

JO - Publicationes Mathematicae Debrecen

JF - Publicationes Mathematicae Debrecen

IS - 3-4

ER -

Integral group ring of the Suzuki sporadic simple group

Abstract

Keywords

ASJC Scopus subject areas

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