Torsion units in integral group ring of the Mathieu simple group M22

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

doi:10.1112/S1461157000000516

Torsion units in integral group ring of the Mathieu simple group M₂₂

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

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

23 Citations (Scopus)

Abstract

We investigate the possible character values of torsion units of the normalized unit group of the integral group ring of the Mathieu sporadic group M₂₂. We confirm the Kimmerle conjecture on prime graphs for this group and specify the partial augmentations for possible counterexamples to the stronger Zassenhaus conjecture.

Original language	English
Pages (from-to)	28-39
Number of pages	12
Journal	LMS Journal of Computation and Mathematics
Volume	11
DOIs	https://doi.org/10.1112/S1461157000000516
Publication status	Published - 2008
Externally published	Yes

ASJC Scopus subject areas

Mathematics(all)
Computational Theory and Mathematics

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10.1112/S1461157000000516

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title = "Torsion units in integral group ring of the Mathieu simple group M22",

abstract = "We investigate the possible character values of torsion units of the normalized unit group of the integral group ring of the Mathieu sporadic group M22. We confirm the Kimmerle conjecture on prime graphs for this group and specify the partial augmentations for possible counterexamples to the stronger Zassenhaus conjecture.",

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

note = "Publisher Copyright: {\textcopyright} 2008.",

year = "2008",

doi = "10.1112/S1461157000000516",

language = "English",

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pages = "28--39",

journal = "LMS Journal of Computation and Mathematics",

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AU - Bovdi, V. A.

AU - Konovalov, A. B.

AU - Linton, S.

PY - 2008

Y1 - 2008

N2 - We investigate the possible character values of torsion units of the normalized unit group of the integral group ring of the Mathieu sporadic group M22. We confirm the Kimmerle conjecture on prime graphs for this group and specify the partial augmentations for possible counterexamples to the stronger Zassenhaus conjecture.

AB - We investigate the possible character values of torsion units of the normalized unit group of the integral group ring of the Mathieu sporadic group M22. We confirm the Kimmerle conjecture on prime graphs for this group and specify the partial augmentations for possible counterexamples to the stronger Zassenhaus conjecture.

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U2 - 10.1112/S1461157000000516

DO - 10.1112/S1461157000000516

M3 - Article

AN - SCOPUS:85007272139

SN - 1461-1570

VL - 11

SP - 28

EP - 39

JO - LMS Journal of Computation and Mathematics

JF - LMS Journal of Computation and Mathematics

ER -

Torsion units in integral group ring of the Mathieu simple group M₂₂

Abstract

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