Integral group ring of Rudvalis simple group

V. A. Bovdi; A. B. Konovalov

doi:10.1007/s11253-009-0199-8

Integral group ring of Rudvalis simple group

V. A. Bovdi, A. B. Konovalov

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

15 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 Rudvalis sporadic simple group Ru. As a consequence, for this group we confirm the Kimmerle conjecture on prime graphs.

Original language	English
Pages (from-to)	1-13
Number of pages	13
Journal	Ukrainian Mathematical Journal
Volume	61
Issue number	1
DOIs	https://doi.org/10.1007/s11253-009-0199-8
Publication status	Published - Jul 2009
Externally published	Yes

ASJC Scopus subject areas

General Mathematics

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10.1007/s11253-009-0199-8

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

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

note = "Funding Information: This research was supported by OTKA (grant No. K68383).",

year = "2009",

month = jul,

doi = "10.1007/s11253-009-0199-8",

language = "English",

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journal = "Ukrainian Mathematical Journal",

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AU - Bovdi, V. A.

AU - Konovalov, A. B.

N1 - Funding Information: This research was supported by OTKA (grant No. K68383).

PY - 2009/7

Y1 - 2009/7

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

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U2 - 10.1007/s11253-009-0199-8

DO - 10.1007/s11253-009-0199-8

M3 - Article

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SN - 0041-5995

VL - 61

SP - 1

EP - 13

JO - Ukrainian Mathematical Journal

JF - Ukrainian Mathematical Journal

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Integral group ring of Rudvalis simple group

Abstract

ASJC Scopus subject areas

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