Abstract:
Finite groups whose prime graphs do not contain triangles are investigated. In the present part of the work, the isomorphic types of prime graphs and estimates of the Fitting length of solvable groups are found and also almost simple groups are determined.
Keywords:
finite group, almost simple group, solvable group, prime graph.
Citation:
O. A. Alekseeva, A. S. Kondrat'ev, “Finite groups whose prime graphs do not contain triangles. I”, Trudy Inst. Mat. i Mekh. UrO RAN, 21, no. 3, 2015, 3–12; Proc. Steklov Inst. Math. (Suppl.), 295, suppl. 1 (2016), 11–20
This publication is cited in the following 5 articles:
W. Guo, M. R. Zinov'eva, A. S. Kondrat'ev, “Finite groups whose prime graphs do not contain triangles. III”, Siberian Math. J., 64:1 (2023), 56–61
Kondrat'ev A.S. Minigulov N.A., “On Finite Non-Solvable Groups Whose Gruenberg-Kegel Graphs Are Isomorphic to the Paw”, Commun. Math. Stat., 2021
N. V. Maslova, D. Pagon, “On the realizability of a graph as the Gruenberg–Kegel graph of a finite group”, Sib. elektron. matem. izv., 13 (2016), 89–100
O. A. Alekseeva, A. S. Kondrat'ev, “Finite groups whose prime graphs do not contain triangles. II”, Proc. Steklov Inst. Math. (Suppl.), 296, suppl. 1 (2017), 19–30
A. S. Kondrat'ev, “Finite groups with given properties of their prime graphs”, Algebra and Logic, 55:1 (2016), 77–82