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

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Simple Groups Whose Gruenberg–Kegel Graph or Solvable Graph is Split. / Lewis, Mark L.; Mirzajani, J.; Moghaddamfar, A. R. и др.

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

Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование

Harvard

Lewis, ML, Mirzajani, J, Moghaddamfar, AR, Vasil’ev, AV & Zvezdina, MA 2020, 'Simple Groups Whose Gruenberg–Kegel Graph or Solvable Graph is Split', Bulletin of the Malaysian Mathematical Sciences Society, Том. 43, № 3, стр. 2523-2547. https://doi.org/10.1007/s40840-019-00815-8

APA

Lewis, M. L., Mirzajani, J., Moghaddamfar, A. R., Vasil’ev, A. V., & Zvezdina, M. A. (2020). Simple Groups Whose Gruenberg–Kegel Graph or Solvable Graph is Split. Bulletin of the Malaysian Mathematical Sciences Society, 43(3), 2523-2547. https://doi.org/10.1007/s40840-019-00815-8

Vancouver

Lewis ML, Mirzajani J, Moghaddamfar AR, Vasil’ev AV , Zvezdina MA. Simple Groups Whose Gruenberg–Kegel Graph or Solvable Graph is Split. Bulletin of the Malaysian Mathematical Sciences Society. 2020 май 1;43(3):2523-2547. doi: 10.1007/s40840-019-00815-8

Author

Lewis, Mark L. ; Mirzajani, J. ; Moghaddamfar, A. R. и др. / Simple Groups Whose Gruenberg–Kegel Graph or Solvable Graph is Split. в: Bulletin of the Malaysian Mathematical Sciences Society. 2020 ; Том 43, № 3. стр. 2523-2547.

BibTeX

@article{2b7d3d74594e43bebcf2957c19714c9b,

title = "Simple Groups Whose Gruenberg–Kegel Graph or Solvable Graph is Split",

abstract = "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.",

keywords = "Gruenberg–Kegel graph, Simple group, Solvable graph, Split graph, RECOGNITION, ORDERS, FINITE-GROUPS, COMPONENTS, PRIME GRAPH, Gruenberg-Kegel graph",

author = "Lewis, {Mark L.} and J. Mirzajani and Moghaddamfar, {A. R.} and Vasil{\textquoteright}ev, {A. V.} and Zvezdina, {M. A.}",

year = "2020",

month = may,

day = "1",

doi = "10.1007/s40840-019-00815-8",

language = "English",

volume = "43",

pages = "2523--2547",

journal = "Bulletin of the Malaysian Mathematical Sciences Society",

issn = "0126-6705",

publisher = "Springer Singapore",

number = "3",

}

RIS

TY - JOUR

T1 - Simple Groups Whose Gruenberg–Kegel Graph or Solvable Graph is Split

AU - Lewis, Mark L.

AU - Mirzajani, J.

AU - Moghaddamfar, A. R.

AU - Vasil’ev, A. V.

AU - Zvezdina, M. A.

PY - 2020/5/1

Y1 - 2020/5/1

N2 - 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.

AB - 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.

KW - Gruenberg–Kegel graph

KW - Simple group

KW - Solvable graph

KW - Split graph

KW - RECOGNITION

KW - ORDERS

KW - FINITE-GROUPS

KW - COMPONENTS

KW - PRIME GRAPH

KW - Gruenberg-Kegel graph

UR - http://www.scopus.com/inward/record.url?scp=85070222170&partnerID=8YFLogxK

U2 - 10.1007/s40840-019-00815-8

DO - 10.1007/s40840-019-00815-8

M3 - Article

AN - SCOPUS:85070222170

VL - 43

SP - 2523

EP - 2547

JO - Bulletin of the Malaysian Mathematical Sciences Society

JF - Bulletin of the Malaysian Mathematical Sciences Society

SN - 0126-6705

IS - 3

ER -

ID: 21257952