- mathematics, a
profinite group is a
topological group that is in a
certain sense ****embled from a
system of
finite groups. The idea of
using a
profinite group...
- In mathematics, the term
profinite is used for
profinite groups,
topological groups profinite sets, also
known as "
profinite spaces" or "Stone spaces"...
- In mathematics, a
profinite integer is an
element of the ring (sometimes
pronounced as zee-hat or zed-hat) Z ^ = lim ← Z / n Z , {\displaystyle {\widehat...
-
related areas of mathematics, a
Stone space, also
known as a
profinite space or
profinite set, is a
compact Hausdorff totally disconnected space. Stone...
- In mathematics, more
precisely in
formal language theory, the
profinite words are a
generalization of the
notion of
finite words into a
complete topological...
-
absolute Galois group is well-defined up to
inner automorphism. It is a
profinite group. (When K is a
perfect field, Ksep is the same as an
algebraic closure...
- In mathematics, a
locally profinite group is a
Hausdorff topological group in
which every neighborhood of the
identity element contains a
compact open...
- G-sets for a
fixed profinite group G. For example, G
might be the
group denoted Z ^ {\displaystyle {\hat {\mathbb {Z} }}} (see
profinite integer), which...
-
resulting topology is
called the
profinite topology on G. A
group is
residually finite if, and only if, its
profinite topology is Hausdorff. A
group whose...
-
infinite Galois group is the
absolute Galois group,
which is an infinite,
profinite group defined as the
inverse limit of all
finite Galois extensions E /...
