- 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...
-
automorphisms in a
uniform context. The
holomorph can be
described as a
semidirect product or as a
permutation group. If Aut ( G ) {\displaystyle \operatorname...
- this is
written N ⊴ G {\displaystyle N\trianglelefteq G} . ⋉ ⋊ 1. Inner
semidirect product: if N and H are
subgroups of a
group G, such that N is a normal...
- Lie algebras), then g {\displaystyle {\mathfrak {g}}} is said to be a
semidirect product of i {\displaystyle {\mathfrak {i}}} and g / i {\displaystyle...
- is the
symmetric group on 3 points).
These extensions are not
always semidirect products, as the case of the
alternating group A6 shows; a
precise criterion...
- 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...
- finite-dimensional Lie
algebra g over a
field of
characteristic zero is the
semidirect product of a
solvable ideal and a
semisimple subalgebra. One is its radical...
