- 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, a
profinite integer is an
element of the ring (sometimes
pronounced as zee-hat or zed-hat) Z ^ = lim ← Z / n Z = ∏ p Z p {\displaystyle...
- In mathematics, the term
profinite is used for
profinite groups,
topological groups profinite sets, also
known as "
profinite spaces" or "Stone spaces"...
-
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...
- In mathematics, a
locally profinite group is a
Hausdorff topological group in
which every neighborhood of the
identity element contains a
compact open...
- In mathematics, a pro-p
group (for some
prime number p) is a
profinite group G {\displaystyle G} such that for any open
normal subgroup N ◃ G {\displaystyle...
- 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...
-
theory about finite permutation representations of
groups G
which are
profinite groups. The gist of the
theory is that the
fiber functor Φ of the Galois...
