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Problemy Fiziki, Matematiki i Tekhniki (Problems of Physics, Mathematics and Technics), 2010, Issue 1(2), Pages 16–21
(Mi pfmt149)
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MATHEMATICS
On irreduсible soluble local formations which науе p-decomposable defect 3
V. V. Aniskov F. Skorina Gomel State University, Gomel
Abstract:
All groups considered are finite. Let H be a class of groups, F be a local formation. We denote by F/lF∩H the lattice of local formations concluded between F and F∩H has finite length n , then n is called the H-defect F. A local formation F is called reducible if F= lform(⋃i∈IFi), where {Fi∣i∈I} is the set of all nontrivial local subformation of F. In this paper we obtain the exact description of irreducible soluble local formations with p-decomposable defect 3.
Keywords:
finite group, class of groups, local formation, lattice, lenglh of lattice, local chain, p-decomposable group, irreducible local formation, soluble local formalion.
Received: 04.03.2010
Citation:
V. V. Aniskov, “On irreduсible soluble local formations which науе p-decomposable defect 3”, PFMT, 2010, no. 1(2), 16–21
Linking options:
https://www.mathnet.ru/eng/pfmt149 https://www.mathnet.ru/eng/pfmt/y2010/i1/p16
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Abstract page: | 124 | Full-text PDF : | 68 | References: | 32 |
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