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Semiabelian groups is a
class of
groups first introduced by
Thompson (1984) and
named by
Matzat (1987). It
appears in
Galois theory, in the
study of the...
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other hand,
there are
lower bounds on
discriminants of
number fields. A
semiabelian variety is a
commutative group variety which is an
extension of an abelian...
- André–Oort, Manin–Mumford, and Mordell–Lang. For
algebraic tori and
semiabelian varieties it was
proposed by
Boris Zilber and
independently by Enrico...
- {\displaystyle A} .
Generalizing by
replacing A {\displaystyle A} by a
semiabelian variety, C {\displaystyle C} by an
arbitrary subvariety of A {\displaystyle...
- is an
algebraic torus, so that A k 0 {\displaystyle A_{k}^{0}} is a
semiabelian variety, then A {\displaystyle A} has
semistable reduction at the prime...
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pairs does not form an
exact structure.
Every quasiabelian category is
semiabelian. In particular,
every abelian category is semi-abelian. Non-quasiabelian...
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conjecture that if X {\displaystyle X} is a
mixed Shimura variety or
semiabelian variety defined over C {\displaystyle \mathbb {C} } , and V ⊆ X {\displaystyle...
- The
groups PGL(2, Z/nZ)
include infinitely many non-solvable groups.
Semiabelian group (Galois theory) "Mathematical
Sciences Research Institute Publications...
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exponential function. It was
later generalised to
exponential functions of
semiabelian varieties, and
analogous conjectures were
proposed for
modular functions...
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perfect residue fields, and
Raynaud (1966)
extended this
construction to
semiabelian varieties over all
Dedekind domains.
Suppose that R is a
Dedekind domain...