Zobrazeno 1 - 10
of 945
pro vyhledávání: '"Nottingham group"'
The Nottingham group at 2 is the group of (formal) power series $t+a_2 t^2+ a_3 t^3+ \cdots$ in the variable $t$ with coefficients $a_i$ from the field with two elements, where the group operation is given by composition of power series. The depth of
Externí odkaz:
http://arxiv.org/abs/2008.04971
Publikováno v:
In Journal of Algebra 15 July 2022 602:484-554
We characterize Harbater-Katz-Gabber curves in terms of a family of cohomology classes satisfying a compatibility condition. Our construction is applied to the description of finite subgroups of the Nottingham Group.
Comment: 15 pages
Comment: 15 pages
Externí odkaz:
http://arxiv.org/abs/1901.08446
Publikováno v:
In Journal of Algebra 15 May 2021 574:316-326
Autor:
Hui, Chun Yin, Kishore, Krishna
We establish an explicit upper bound B(p,l,m), depending on p,l,m, on the number of conjugacy classes of order p^2 torsion elements u of type of the Nottingham group defined over the prime field of characteristic p >0. In the cases where l < p,
Externí odkaz:
http://arxiv.org/abs/1810.11304
Publikováno v:
In Journal of Algebra 1 August 2020 555:325-345
Autor:
Kishore, Krishna
We classify torsion elements of order $p^2$ and type $\langle 2, m \rangle$ in the Nottingham group defined over a prime field of characteristic $p >0$.
Comment: To appear in the Journal of the Ramanujan Mathematical Society
Comment: To appear in the Journal of the Ramanujan Mathematical Society
Externí odkaz:
http://arxiv.org/abs/1710.09194
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Publikováno v:
Journal of Algebra. 574:316-326
In [1] , B. Klopsch proved that the Nottingham group over a finite field is verbally elliptic. We prove a similar result for fields of zero characteristic. We also prove that the Virasoro Lie algebra and some its subalgebras are polynomially elliptic
Autor:
Chinburg, Ted, Symonds, Peter
For k a field of characteristic 2, we show that there is a unique continuous automorphism of order 4 of the power series ring k[[t]] which sends t to t + t^2 + (t^6) + (t^{12} + t^{14}) + (t^{24} + t^{26} + t^{28} + t^{30}) + ... . For j >= 0, the j-
Externí odkaz:
http://arxiv.org/abs/1009.5135