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Finite groups with many maximal sensitive subgroups

✍ Scribed by Paul Venzke

Publisher: Elsevier Science
Year: 1972
Tongue: English
Weight: 661 KB
Volume: 22
Category: Article
ISSN: 0021-8693
DOI: 10.1016/0021-8693(72)90147-0

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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