- of a
semidirect product is a
generalization of a
direct product.
There are two
closely related concepts of
semidirect product: an
inner semidirect product...
-
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...
- (mathematics)
Direct product Cartesian product of sets
Direct product of
groups Semidirect product Product of
group subsets Wreath product Free
product Zappa–Szép...
-
isomorphic with C2. G=A3⋊H{\displaystyle G=\mathrm {A} _{3}\rtimes H}, a
semidirect product,
where H is a
subgroup of two elements: () and one of the three...
- the
wreath product is a
special combination of two
groups based on the
semidirect product. It is
formed by the
action of one
group on many
copies of another...
- Any
semidirect product N⋊H{\displaystyle N\rtimes H}
where N is
abelian and H is finite. (For example, any
generalized dihedral group.) Any
semidirect product...
-
representation exhibits the set of all
invertible affine transformations as the
semidirect product of Kn{\displaystyle K^{n}} and GL(n,K){\displaystyle \operatorname...
- H} 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=K⋊H{\displaystyle...
-
falls into two pieces; and
because the
projection map splits, O(n) is a
semidirect product of SO(n) by O(1). In
practical terms, a
comparable statement is...