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Different exponent from ramification groups
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Area of mathematics
Arithmetic
Non-Archimedean analysis
Local field
Ramification group
Different ideal
2026-09-28
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For
a
finite Galois extension
of
local fields
,
d
(
L
/
K
)
=
∑
i
≥
0
(
∣
G
i
∣
−
1
)
.
(1)
Ancestors
(8)
Different ideal
Ramification group
Local field
Non-Archimedean analysis
Arithmetic
Area of mathematics
Mathematics
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Past exam of the mathematics course of the University of Cambridge
/
2010
/
iii
/
Paper 24
/
5
/
a
/
Solution
Past exam of the mathematics course of the University of Cambridge
/
2014
/
iii
/
Paper 24
/
3
/
iii
/
Solution
Past exam of the mathematics course of the University of Cambridge
/
2015
/
iii
/
Paper 26
/
4
/
Solution
Past exam of the mathematics course of the University of Cambridge
/
2016
/
iii
/
Paper 123
/
2
/
b
/
Solution
Past exam of the mathematics course of the University of Cambridge
/
2017
/
iii
/
Paper 136
/
3
/
Solution
Past exam of the mathematics course of the University of Cambridge
/
2018
/
iii
/
Paper 123
/
4
/
a
/
Solution
Past exam of the mathematics course of the University of Cambridge
/
2023
/
iii
/
Paper 136
/
3
/
b
/
Solution
Ramification groups of the eighth-root cyclotomic extension of the 2-adic field
Ramification groups of the splitting field of T3 minus 2 over Q3
Ramification groups of the splitting field of T3 minus 3T plus 3 over Q3
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