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Solvable subgroups of finite simple groups

โœ Scribed by V. D. Mazurov

Publisher
SP MAIK Nauka/Interperiodica
Year
1974
Tongue
English
Weight
478 KB
Volume
16
Category
Article
ISSN
0001-4346

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In this paper G denotes a finite group. As is well known, the converse of Lagrange's theorem in group theory does not hold. That is, given a finite group G of order n, and given a divisor d of n, G need not have a subgroup of order d. Indeed, a celebrated theorem of P. Hall states that it suffices t