Index-subgroups of the Nottingham group
نویسندگان
چکیده
منابع مشابه
Torsion in the Nottingham group
From local class-field theory and higher ramification theory one gets a classification up to conjugacy of the torsion elements of arbitrary order in the Nottingham group over a finite field, in terms of continuous characters on the multiplicative group of principal units in the ring of formal power series over the field. An essential part of this classification is to partition the torsion eleme...
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Let p ≥ 5 be a prime number. We prove that the abstract commensurator of the Nottingham group N (Fp) coincides with its automorphism group, which is known to be a finite extension of N (Fp). As a corollary we deduce that the Nottingham group cannot be embedded as an open subgroup of a topologically simple group.
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ژورنال
عنوان ژورنال: Advances in Mathematics
سال: 2003
ISSN: 0001-8708
DOI: 10.1016/s0001-8708(02)00102-0