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Problemy Fiziki, Matematiki i Tekhniki (Problems of Physics, Mathematics and Technics), 2015, Issue 2(23), Pages 48–52
(Mi pfmt372)
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MATHEMATICS
On lattices of generalized subnormal subgroups in finite metanilpotent groups
A. F. Vasil'ev, I. N. Khalimonchik F. Scorina Gomel State University, Gomel, Belarus
Abstract:
The Shemetkov problem about description of hereditary saturated lattice formations and lattice subgroup functors in the class of all finite metanilpotent groups has been solved.
Keywords:
finite group, lattice formation, lattice subgroup functor, $\mathfrak{F}$-subnormal subgroup.
Received: 11.02.2015
Citation:
A. F. Vasil'ev, I. N. Khalimonchik, “On lattices of generalized subnormal subgroups in finite metanilpotent groups”, PFMT, 2015, no. 2(23), 48–52
Linking options:
https://www.mathnet.ru/eng/pfmt372 https://www.mathnet.ru/eng/pfmt/y2015/i2/p48
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Statistics & downloads: |
Abstract page: | 135 | Full-text PDF : | 53 | References: | 50 |
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