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Sibirskii Matematicheskii Zhurnal, 2018, Volume 59, Number 3, Pages 535–543
DOI: https://doi.org/10.17377/smzh.2018.59.305 (Mi smj2992) 		 
On the problem of existence and conjugacy of injectors of partially $\pi$-soluble groups

X. Yina, N. Yanga, N. T. Vorobevb

a School of Science, Jiangnan University, Wuxi, P. R. China
b Masherov Vitebsk State University, Vitebsk, Belarus
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DOI: https://doi.org/10.17377/smzh.2018.59.305
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.
Funding agency Grant number
National Natural Science Foundation of China 11301227
Natural Science Foundation of Jiangsu Province BK20130119
The authors were supported by the NNSF of China (Grant # 11301227) and the Natural Science Foundation of the Jiangsu Province (Grant # BK20130119).
Received: 06.06.2016
English version:
Siberian Mathematical Journal, 2018, Volume 59, Issue 3, Pages 420–426
DOI: https://doi.org/10.1134/S0037446618030059
Bibliographic databases:
Document Type: Article
UDC: 512.542
MSC: 35R30
Language: Russian
Citation: X. Yin, N. Yang, N. T. Vorobev, “On the problem of existence and conjugacy of injectors of partially $\pi$-soluble groups”, Sibirsk. Mat. Zh., 59:3 (2018), 535–543; Siberian Math. J., 59:3 (2018), 420–426
Citation in format AMSBIB
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\pages 535--543
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    		Сибирский математический журнал Siberian Mathematical Journal
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