Integral group ring of the McLaughlin simple group
We consider the Zassenhaus conjecture for the normalized unit group of the integral group ring of the McLaughlin sporadic group McL. As a consequence, we confirm for this group the Kimmerle’s conjecture on prime graphs.
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| Veröffentlicht in: | Algebra and Discrete Mathematics |
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| Datum: | 2007 |
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| Format: | Artikel |
| Sprache: | English |
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Інститут прикладної математики і механіки НАН України
2007
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/157353 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | Integral group ring of the McLaughlin simple group / V.A. Bovdi, A.B. Konovalov // Algebra and Discrete Mathematics. — 2007. — Vol. 6, № 2. — С. 43–53. — Бібліогр.: 26 назв. — англ. |
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Bovdi, V.A. Konovalov, A.B. 2019-06-20T02:45:23Z 2019-06-20T02:45:23Z 2007 Integral group ring of the McLaughlin simple group / V.A. Bovdi, A.B. Konovalov // Algebra and Discrete Mathematics. — 2007. — Vol. 6, № 2. — С. 43–53. — Бібліогр.: 26 назв. — англ. 1726-3255 2000 Mathematics Subject Classification: 16S34, 20C05; 20D08. https://nasplib.isofts.kiev.ua/handle/123456789/157353 We consider the Zassenhaus conjecture for the normalized unit group of the integral group ring of the McLaughlin sporadic group McL. As a consequence, we confirm for this group the Kimmerle’s conjecture on prime graphs. The research was supported by OTKA grant No. K 68383 en Інститут прикладної математики і механіки НАН України Algebra and Discrete Mathematics Integral group ring of the McLaughlin simple group Article published earlier |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| title |
Integral group ring of the McLaughlin simple group |
| spellingShingle |
Integral group ring of the McLaughlin simple group Bovdi, V.A. Konovalov, A.B. |
| title_short |
Integral group ring of the McLaughlin simple group |
| title_full |
Integral group ring of the McLaughlin simple group |
| title_fullStr |
Integral group ring of the McLaughlin simple group |
| title_full_unstemmed |
Integral group ring of the McLaughlin simple group |
| title_sort |
integral group ring of the mclaughlin simple group |
| author |
Bovdi, V.A. Konovalov, A.B. |
| author_facet |
Bovdi, V.A. Konovalov, A.B. |
| publishDate |
2007 |
| language |
English |
| container_title |
Algebra and Discrete Mathematics |
| publisher |
Інститут прикладної математики і механіки НАН України |
| format |
Article |
| description |
We consider the Zassenhaus conjecture for the
normalized unit group of the integral group ring of the McLaughlin
sporadic group McL. As a consequence, we confirm for this group
the Kimmerle’s conjecture on prime graphs.
|
| issn |
1726-3255 |
| url |
https://nasplib.isofts.kiev.ua/handle/123456789/157353 |
| citation_txt |
Integral group ring of the McLaughlin simple group / V.A. Bovdi, A.B. Konovalov // Algebra and Discrete Mathematics. — 2007. — Vol. 6, № 2. — С. 43–53. — Бібліогр.: 26 назв. — англ. |
| work_keys_str_mv |
AT bovdiva integralgroupringofthemclaughlinsimplegroup AT konovalovab integralgroupringofthemclaughlinsimplegroup |
| first_indexed |
2025-12-07T13:26:55Z |
| last_indexed |
2025-12-07T13:26:55Z |
| _version_ |
1850856193957822464 |