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Authors
Affiliations
1 Department of Mathematics, Indian Institute of Science Education and Research, Pune, IN
Source
Journal of the Ramanujan Mathematical Society, Vol 34, No 2 (2019), Pagination: 231-243
Abstract
We classify torsion elements of order p2 and type ⟨ 2,m⟩ in the Nottingham group defined over a prime field of characteristic p > 0.
References
- [Ca] R. Camina, Subgroups of the Nottingham Group, Journal of Algebra, 196, Issue 1, (October 1997) 101–113.
- [Ca1] R. Camina, The Nottingham group. In: du Sautoy M., Segal D., Shalev A. (eds) New Horizons in pro-p Groups. Progress in Mathematics, Birkhuser, Boston, MA, 184 (2000) 205–221.
- [Ch] T. Chinburg and P. Symonds, An element of order 4 in the Nottingham group at the prime 2, preprint. https://arxiv.org/abs/1009.5135.
- [DF] M. Sautoy and I. Fesenko, Where the Wild Things Are: Ramification Groups and the Nottingham Group. In: du Sautoy M., Segal D., Shalev A. (eds) New Horizons in pro-p Groups. Progress in Mathematics, Birkhuser, Boston, MA, 184 (2000) 287–328.
- [Ha] M. Hazewinkel, Formal Groups and Applications. Number 78 in Pure and Applied Mathematics, Academic Press (1978).
- [Iw] K. Iwasawa, Local class field theory, Oxford University Press Inc. (1986).
- [Je] S. A. Jennings, Substitution groups of formal power series under substitution, Canad. J. Math., 6 (1954) 325–34.
- [Kl] B. Klopsch, Automorphisms of the Nottingham group, J. Algebra, 223 (2000) 37–56.
- [Lu] J. Lubin, Torsion in the Nottingham group, Bull. London Math. Soc. (2011) 547–560.
