## V. Alexandru, M. Vâjâitu, A. Zaharescu: Isometric Galois actions over -adic fields, p. 295-301

### Abstract:

Let be a prime number, the field of -adic numbers, a fixed algebraic closure of and the completion of with respect to the -adic valuation. Let be the group of continuous automorphisms of over . We investigate isometric Galois actions of the Galois group on subsets of .

Key Words and phrases: Galois actions, -adic fields, isometries

2010 Mathematics Subject Classification: 11S99