An element of order 4 in the Nottingham group at the prime 2

Details An element of order 4 in the Nottingham group at the prime 2 An element of order 4 in the Nottingham group at the prime 2

2010-09-26

arxiv.org/abs/1009.5135v1

Mathematics

Group Theory

Scientific paper

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-th sum in parentheses has 2^j terms beginning at t^{6*2^j},
with successive terms in the j-th sum raising the exponent of t by 2.

Affiliated with

Also associated with

No associations

Rating

An element of order 4 in the Nottingham group at the prime 2 does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with An element of order 4 in the Nottingham group at the prime 2, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and An element of order 4 in the Nottingham group at the prime 2 will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-517081