- In mathematics,
specifically in
group theory, the
concept of a
semidirect product is a
generalization of a
direct product. It is
usually denoted with the...
- (mathematics)
Direct product Cartesian product of sets
Direct product of
groups Semidirect product Product of
group subsets Wreath product Free
product Zappa–Szép...
-
Direct democracy or pure
democracy is a form of
democracy in
which the
electorate decides on
policy initiatives without elected representatives as proxies...
- F)/SL(n, F) is
isomorphic to F×. In fact, GL(n, F) can be
written as a
semidirect product: GL(n, F) = SL(n, F) ⋊ F× The
special linear group is also the...
- with C2. G = A 3 ⋊ H {\displaystyle G=\mathrm {A} _{3}\rtimes H} , a
semidirect product,
where H is a
subgroup of two elements: () and one of the three...
- At the
level of
semidirect products, this
corresponds to
different actions of the
Galois group on a
given abstract group, a
semidirect product depending...
- In
probability theory, a
Markov kernel (also
known as a
stochastic kernel or
probability kernel) is a map that in the
general theory of
Markov processes...
-
symmetric group S 3 {\displaystyle S_{3}} ,
which in turn can be
written as a
semidirect product of
cyclic groups: S 3 ≃ C 3 ⋊ C 2 {\displaystyle S_{3}\simeq C_{3}\rtimes...
-
monomorphism from F× to GL(n, F), see
semidirect product), and
therefore GL(n, F) can be
written as a
semidirect product of SL(n, F) by F×: GL(n, F) =...
- to the
semidirect product construction for groups. (Roughly speaking,
crossed product is the
expected structure for a
group ring of a
semidirect product...
