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Sibirskii Matematicheskii Zhurnal, 2008, Volume 49, Number 3, Pages 515–527 (Mi smj1857)  
Primary graded groups with systems of complemented subgroups

V. A. Vedernikova, G. V. Savichevab

a Moscow City Pedagogical University, Faculty of Mathematics
b Bryansk State University, Novozybkov Branch
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Abstract: Given some primary graded group $G$, consider the subgroup $D$ generated by all non-complemented subgroups of $G$. We obtain a full description of the structure of $G$ in the case that $D$ is included into the product of the Frattini subgroup and the center of $G$.
Keywords: primary graded group, locally almost soluble group, Frattini subgroup, center of a group, complemented subgroup.
Received: 23.06.2007
English version:
Siberian Mathematical Journal, 2008, Volume 49, Issue 3, Pages 408–417
DOI: https://doi.org/10.1007/s11202-008-0040-x
Bibliographic databases:
UDC: 512.54
Language: Russian
Citation: V. A. Vedernikov, G. V. Savicheva, “Primary graded groups with systems of complemented subgroups”, Sibirsk. Mat. Zh., 49:3 (2008), 515–527; Siberian Math. J., 49:3 (2008), 408–417
Citation in format AMSBIB
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    		Сибирский математический журнал Siberian Mathematical Journal
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