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Cover-avoid subgroups in finite solvable groups

✍ Scribed by J.D Gillam

Publisher
Elsevier Science
Year
1974
Tongue
English
Weight
336 KB
Volume
29
Category
Article
ISSN
0021-8693

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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