- 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...
-
Direct democracy or pure
democracy is a form of
democracy in
which the
electorate directly decides on
policy initiatives,
without elected representatives...
- (mathematics)
Direct product Cartesian product of sets
Direct product of
groups Semidirect product Product of
group subsets Wreath product Free
product Zappa–Szép...
- 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...
- At the
level of
semidirect products, this
corresponds to
different actions of the
Galois group on a
given abstract group, a
semidirect product depending...
-
automorphisms in a
uniform context. The
holomorph can be
described as a
semidirect product or as a
permutation group. If Aut ( G ) {\displaystyle \operatorname...
- 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...
- 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...
- and K {\displaystyle K} . More generally, if G {\displaystyle G} is a
semidirect product of K {\displaystyle K} and H {\displaystyle H} ,
written as G...
-
semidirect product N ⋊ H {\displaystyle N\rtimes H}
where N is
abelian and H is finite. (For example, any
generalized dihedral group.) Any
semidirect...
