Simple Groups Whose Gruenberg–Kegel Graph or Solvable Graph is Split

Mark L. Lewis; J. Mirzajani; A. R. Moghaddamfar; A. V. Vasil’ev; M. A. Zvezdina

doi:10.1007/s40840-019-00815-8

Simple Groups Whose Gruenberg–Kegel Graph or Solvable Graph is Split

Mark L. Lewis, J. Mirzajani, A. R. Moghaddamfar, A. V. Vasil’ev, M. A. Zvezdina

Кафедра алгебры и математической логики ММФ

Результат исследования: Научные публикации в периодических изданиях › статья

1 Цитирования (Scopus)

Аннотация

A graph is split if there is a partition of its vertex set into a clique and an independent set. In this paper, we determine when the Gruenberg–Kegel graph, the solvable graph, and the compact forms of these graphs associated with finite nonabelian simple groups are split. In particular, it is proved that the compact form of the Gruenberg–Kegel graph of any finite simple group is split.

Язык оригинала	английский
Страницы (с-по)	2523-2547
Число страниц	25
Журнал	Bulletin of the Malaysian Mathematical Sciences Society
Том	43
Номер выпуска	3
DOI	https://doi.org/10.1007/s40840-019-00815-8
Состояние	Опубликовано - 1 мая 2020

Доступ к документу

10.1007/s40840-019-00815-8

Link to publication in Scopus

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Simple Groups Whose Gruenberg–Kegel Graph or Solvable Graph is Split. / Lewis, Mark L.; Mirzajani, J.; Moghaddamfar, A. R.; Vasil’ev, A. V.; Zvezdina, M. A.

В: Bulletin of the Malaysian Mathematical Sciences Society, Том 43, № 3, 01.05.2020, стр. 2523-2547.

Результат исследования: Научные публикации в периодических изданиях › статья

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AU - Lewis, Mark L.

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AU - Zvezdina, M. A.

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KW - Split graph

KW - RECOGNITION

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KW - FINITE-GROUPS

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