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Mohammad Zarrin

Academic rank: Associate Professor
ORCID:
Education: PhD.
ScopusId: 14421916000
Faculty: Faculty of Science
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Research

Title
GROUPS WITH FEW SOLVABLE SUBGROUPS
Type
JournalPaper
Keywords
Soluble subgroup; simple group.
Year
2013
Journal Journal of Algebra and Its Applications
DOI
Researchers Mohammad Zarrin

Abstract

In this paper, we give some sufficient condition on the number of proper solvable subgroups of a group to be nilpotent or solvable. In fact, we show that every group with at most 5 (respectively, 58) proper solvable subgroups is nilpotent (respectively, solvable). Also these bounds cannot be improved.