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Finite solvable groups containing maximal nilpotent subgroups

โœ Scribed by Hermann Simon


Publisher
Elsevier Science
Year
1968
Tongue
English
Weight
536 KB
Volume
10
Category
Article
ISSN
0021-8693

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Finite Groups Containing Many Subgroups
โœ Marcel Herzog; Patrizia Longobardi; Mercede Maj; Avinoam Mann ๐Ÿ“‚ Article ๐Ÿ“… 1996 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 160 KB

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