An OD-characterizable class of simple groups

It is proved that nonabelian finite simple groups \(S\) with \(\max \pi(S)=37\) are uniquely determined by their order and degree pattern in the class of all finite groups.

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Бібліографічні деталі
Дата:2020
Автори: Akbari, M., Chen, X. Y., Moghaddamfar, A. R.
Формат: Стаття
Мова:English
Опубліковано: Lugansk National Taras Shevchenko University 2020
Теми:
Онлайн доступ:https://admjournal.luguniv.edu.ua/index.php/adm/article/view/611
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Назва журналу:Algebra and Discrete Mathematics

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Algebra and Discrete Mathematics
id admjournalluguniveduua-article-611
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spelling admjournalluguniveduua-article-6112020-05-14T18:27:22Z An OD-characterizable class of simple groups Akbari, M. Chen, X. Y. Moghaddamfar, A. R. OD-characterization of a finite group, prime graph, degree pattern, simple group 20D05, 20D06, 20D08 It is proved that nonabelian finite simple groups \(S\) with \(\max \pi(S)=37\) are uniquely determined by their order and degree pattern in the class of all finite groups. Lugansk National Taras Shevchenko University This work was done during the second and third authors had a visiting position at the Department of Mathematical Sciences, Kent State University, USA. They would like to thank the hospitality of the Department of Mathematical Sciences of KSU. The second a 2020-05-14 Article Article Peer-reviewed Article application/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/view/611 10.12958/adm611 Algebra and Discrete Mathematics; Vol 29, No 1 (2020) 2415-721X 1726-3255 en https://admjournal.luguniv.edu.ua/index.php/adm/article/view/611/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/downloadSuppFile/611/293 Copyright (c) 2020 Algebra and Discrete Mathematics
institution Algebra and Discrete Mathematics
baseUrl_str
datestamp_date 2020-05-14T18:27:22Z
collection OJS
language English
topic OD-characterization of a finite group
prime graph
degree pattern
simple group
20D05
20D06
20D08
spellingShingle OD-characterization of a finite group
prime graph
degree pattern
simple group
20D05
20D06
20D08
Akbari, M.
Chen, X. Y.
Moghaddamfar, A. R.
An OD-characterizable class of simple groups
topic_facet OD-characterization of a finite group
prime graph
degree pattern
simple group
20D05
20D06
20D08
format Article
author Akbari, M.
Chen, X. Y.
Moghaddamfar, A. R.
author_facet Akbari, M.
Chen, X. Y.
Moghaddamfar, A. R.
author_sort Akbari, M.
title An OD-characterizable class of simple groups
title_short An OD-characterizable class of simple groups
title_full An OD-characterizable class of simple groups
title_fullStr An OD-characterizable class of simple groups
title_full_unstemmed An OD-characterizable class of simple groups
title_sort od-characterizable class of simple groups
description It is proved that nonabelian finite simple groups \(S\) with \(\max \pi(S)=37\) are uniquely determined by their order and degree pattern in the class of all finite groups.
publisher Lugansk National Taras Shevchenko University
publishDate 2020
url https://admjournal.luguniv.edu.ua/index.php/adm/article/view/611
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