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math.GR2023
Arithmetic graphs and the products of finite groups
Viachaslau I. Murashka
The Hawkes graph of is the directed graph whose vertex set coincides with and it has the edge whenever . The Sylow graph …
math.GR2023
On the Generalized Fitting Height and Nonsoluble Length of the Mutually Permutable Products of Finite Groups
Viachaslau I. Murashka, Alexander F. Vasil'ev
The generalized Fitting height of a finite group is the least number such that , where , and $\mathrm{F}_{(i+1)…