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Results tagged with nilpotent-groups
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user 3710
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Largest possible order of a nilpotent permutation group?
The paper of Vdovin mentioned by Steve shows that the nilpotent subgroups of the symmetric groups of maximal order are either the Sylow 2-subgroups P(n) of Sym(n), or P(n-3) x Alt(3) when n = 2(2k+1) …
- 10.7k
7
votes
Are higher dimensional Heisenberg groups free nilpotent?
The higher dimensional Heisenberg groups are the matrix groups G(V,R,f) = { [ 1, x, z ; 0, 1, y ; 0, 0, 1] : x,y in V, z in R } where V is an R-module, R is a ring, and f is an alternating R-bilinear …
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