In this chapter we treat central extensions of groups, a particular case of the construction in Sect. 1.5, and we give a complete cohomological characterization of these. Following Mihailovs (The orbit method for finite groups of nilpotency class two of odd order. Preprint: arXiv.org: math.RT/0001092) and Kokhas (J Math Sci (NY) 131(2):5508–5555, 2004) with a 2-step nilpotent group with 2-divisible center we associate a 2-step nilpotent Lie ring. This is a key construction for the definition and application of the orbit method.
Central extensions and the orbit method / Ceccherini-Silberstein, T.; Scarabotti, F.; Tolli, F.. - (2022), pp. 139-187. - SPRINGER MONOGRAPHS IN MATHEMATICS. [10.1007/978-3-031-13873-7_6].
Central extensions and the orbit method
Scarabotti F.;
2022
Abstract
In this chapter we treat central extensions of groups, a particular case of the construction in Sect. 1.5, and we give a complete cohomological characterization of these. Following Mihailovs (The orbit method for finite groups of nilpotency class two of odd order. Preprint: arXiv.org: math.RT/0001092) and Kokhas (J Math Sci (NY) 131(2):5508–5555, 2004) with a 2-step nilpotent group with 2-divisible center we associate a 2-step nilpotent Lie ring. This is a key construction for the definition and application of the orbit method.| File | Dimensione | Formato | |
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