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Factorizable Groups
V. N. Semenchuk, O. A. Mokeeva Francisk Skorina Gomel State University
Abstract:
The paper is devoted to the description of solvable hereditary Fitting formations $\mathfrak F$ containing any solvable group of the form $G=AB$, where $A$ and $B$ are $\mathfrak F$-subgroups and the indices $|G:A|$ and $|G:B|$ are not divisible by some prime $p$.
Keywords:
solvable finite group, solvable hereditary Fitting formation, Shemetkov formation, Schmidt group.
Received: 18.04.2008
Citation:
V. N. Semenchuk, O. A. Mokeeva, “Factorizable Groups”, Mat. Zametki, 85:2 (2009), 273–282; Math. Notes, 85:2 (2009), 251–259
Linking options:
https://www.mathnet.ru/eng/mzm4728https://doi.org/10.4213/mzm4728 https://www.mathnet.ru/eng/mzm/v85/i2/p273
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Abstract page: | 399 | Full-text PDF : | 174 | References: | 60 | First page: | 20 |
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