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On quotients of the space of orderings of the field ℚ(x)

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Gładki P., Jacob B.

Banach Center Publications

2016

tom 108

nr 1

63-84

In this paper we present a method of obtaining new examples of spaces of orderings by considering quotient structures of the space of orderings $(X_{ℚ(x)}, G_{ℚ(x)})$ - it is, in general, nontrivial to determine whether, for a subgroup $G₀ ⊂ G_{ℚ(x)}$ the derived quotient structure $(X_{ℚ(x)}|_{G₀}, G₀)$ is a space of orderings, and we provide some insights into this problem. In particular, we show that if a quotient structure arising from a subgroup of index 2 is a space of orderings, then it necessarily is a profinite one.

Ograniczanie wyników

1 Banach Center Publications

1 Gładki P.

1 Jacob B.

1 2016

Wyniki wyszukiwania

On quotients of the space of orderings of the field ℚ(x)