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On the Normalizer of the Congruence Subgroup H05(I) of the Hecke Group H5
Normalizer Congruence subgroup Hecke group
2010/2/26
Let l = 2 cos \frac{p}{5} and let H5 be the Hecke group associated to l. In this paper, the normalizers of the congruence subgroups H05(I) in PSL(2Z[l]) are studied in the case where I = (2)aI ', (2, ...
Let G be a perfect locally nilpotent p-group in which every proper subgroup is nilpotent-by-Chernikov. It is shown that in G/Z(G) every proper subgroup is a Chernikov extension of a nilpotent subgroup...