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 \(\verb"McL"\). As a consequence, we confirm for this group the Kimmerle's conjecture on prime graphs.
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| Date: | 2018 |
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| Language: | English |
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Lugansk National Taras Shevchenko University
2018
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oai:ojs.admjournal.luguniv.edu.ua:article-8422018-03-21T11:59:09Z Integral group ring of the McLaughlin simple group Bovdi, V. A. Konovalov, A. B. Zassenhaus conjecture, Kimmerle conjecture, torsion unit, partial augmentation, integral group ring 16S34, 20C05; 20D08 We consider the Zassenhaus conjecture for the normalized unit group of the integral group ring of the McLaughlin sporadic group \(\verb"McL"\). As a consequence, we confirm for this group the Kimmerle's conjecture on prime graphs. Lugansk National Taras Shevchenko University 2018-03-21 Article Article Peer-reviewed Article application/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/view/842 Algebra and Discrete Mathematics; Vol 6, No 2 (2007) 2415-721X 1726-3255 en https://admjournal.luguniv.edu.ua/index.php/adm/article/view/842/373 Copyright (c) 2018 Algebra and Discrete Mathematics |
| institution |
Algebra and Discrete Mathematics |
| collection |
OJS |
| language |
English |
| topic |
Zassenhaus conjecture Kimmerle conjecture torsion unit partial augmentation integral group ring 16S34 20C05; 20D08 |
| spellingShingle |
Zassenhaus conjecture Kimmerle conjecture torsion unit partial augmentation integral group ring 16S34 20C05; 20D08 Bovdi, V. A. Konovalov, A. B. Integral group ring of the McLaughlin simple group |
| topic_facet |
Zassenhaus conjecture Kimmerle conjecture torsion unit partial augmentation integral group ring 16S34 20C05; 20D08 |
| format |
Article |
| author |
Bovdi, V. A. Konovalov, A. B. |
| author_facet |
Bovdi, V. A. Konovalov, A. B. |
| author_sort |
Bovdi, V. A. |
| title |
Integral group ring of the McLaughlin simple group |
| 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 |
| description |
We consider the Zassenhaus conjecture for the normalized unit group of the integral group ring of the McLaughlin sporadic group \(\verb"McL"\). As a consequence, we confirm for this group the Kimmerle's conjecture on prime graphs. |
| publisher |
Lugansk National Taras Shevchenko University |
| publishDate |
2018 |
| url |
https://admjournal.luguniv.edu.ua/index.php/adm/article/view/842 |
| work_keys_str_mv |
AT bovdiva integralgroupringofthemclaughlinsimplegroup AT konovalovab integralgroupringofthemclaughlinsimplegroup |
| first_indexed |
2024-04-12T06:26:19Z |
| last_indexed |
2024-04-12T06:26:19Z |
| _version_ |
1796109164819251200 |