On Finite Nonsolvable 5-Primary Groups with Disconnected Gruenberg–Kegel Graph Such that |π(G/F(G))| ≤ 4

On Finite Nonsolvable 5-Primary Groups with Disconnected Gruenberg–Kegel Graph Such that |π(G/F(G))| ≤ 4

This paper describes the chief factors of the commutator subgroups of finite nonsolvable groups G with disconnected Gruenberg–Kegel graph having exactly 5 vertices in the case where G / F ( G ) is an almost simple n -primary group for n  ≤ 4.

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Veröffentlicht in:Journal of mathematical sciences (New York, N.Y.) N.Y.), 2018-04, Vol.230 (3), p.398-410
Hauptverfasser: Kolpakova, V. A., Kondrat’ev, A. S.
Format: Artikel
Sprache:eng
Schlagworte:
COMMUTATORS
GRAPH THEORY
GROUP THEORY
MATHEMATICAL METHODS AND COMPUTING
Mathematics
Mathematics and Statistics
Subgroups
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Zusammenfassung:This paper describes the chief factors of the commutator subgroups of finite nonsolvable groups G with disconnected Gruenberg–Kegel graph having exactly 5 vertices in the case where G / F ( G ) is an almost simple n -primary group for n  ≤ 4.
ISSN:1072-3374
1573-8795
DOI:10.1007/s10958-018-3746-8