-
Holomorph may
refer to:
Mathematics Holomorph (mathematics), a
group which simultaneously contains (copies of) a
group and its
automorphism group Holomorphic...
- In mycology, the
terms teleomorph, anamorph, and
holomorph apply to
portions of the life
cycles of
fungi in the
phyla Ascomycota and Basidiomycota: Teleomorph:...
-
canonical example of a
group expressed as a
semidirect product is the
holomorph of a group. This is
defined as Hol ( G ) = G ⋊ Aut ( G ) {\displaystyle...
- mathematics,
especially in the area of
algebra known as
group theory, the
holomorph of a
group G {\displaystyle G} ,
denoted Hol ( G ) {\displaystyle \operatorname...
- {K}}_{G}} is also
compact in G.
Sometimes this is just
abbreviated as
holomorph-convex. When n = 1 {\displaystyle n=1} ,
every domain G {\displaystyle...
- In mathematics, a
holomorphic function is a complex-valued
function of one or more
complex variables that is
complex differentiable in a neighbourhood...
- flax (Linum
usitatissimum and
other Linum spp.). Teleomorph,
anamorph and
holomorph Common Names of Diseases, The
American Phytopathological Society...
-
teleomorphic genus Arthroderma, of the
Ascomycota (see Teleomorph,
anamorph and
holomorph for more
information on this type of
fungal life cycle). As of 2019 a...
- all i, j in Z. The
infinite dihedral group can also be
defined as the
holomorph of the
infinite cyclic group. An
example of
infinite dihedral symmetry...
-
inner automorphism). The
automorphism group of Dn is
isomorphic to the
holomorph of Z {\displaystyle \mathbb {Z} } /n Z {\displaystyle \mathbb {Z} } ,...