X. Yin, N. Yang, N. T. Vorobev, “On the problem of existence and conjugacy of injectors of partially <nobr>$\pi$</nobr>-soluble groups”, Sibirsk. Mat. Zh., 2018, Volume 59, Number 3,Pages <nobr>535

On the problem of existence and conjugacy of injectors of partially $\pi$-soluble groups

X. Yin^a, N. Yang^a, N. T. Vorobev^b

^a School of Science, Jiangnan University, Wuxi, P. R. China
^b Masherov Vitebsk State University, Vitebsk, Belarus

Abstract: We prove the existence and conjugacy of injectors of partially $\pi$-soluble groups for the Hartley class defined by an invariable Hartley function, and give description of the structure of the injectors.

Keywords: finite group, Fitting class, injector, $\pi$-soluble group.

UDC: 512.542

MSC: 35R30

Received: 06.06.2016

DOI: 10.17377/smzh.2018.59.305