منابع مشابه
Quotients of Algebraic Groups
In this note, we study the existence and structure of the homogeneous space G/H for algebraic groups H ⊂ G. Let k be a field. All schemes considered will be k-schemes. By an affine algebraic group, we mean an affine group scheme of finite type over k. Note that we do not assume our schemes are reduced yet. We will only consider affine algebraic groups. From now on, G will denote an algebraic gr...
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We show that a quotient group of a CI-group with respect to (di)graphs is a CI-group with respect to (di)graphs. In [1,2], Babai and Frankl provided strong constraints on which finite groups could be CI-groups with respect to graphs. As a tool in this program, they proved [1, Lemma 3.5] that a quotient group G/N of a CI-group G with respect to graphs is a CI-group with respect to graphs provide...
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Automatic groups admitting prefix closed automatic structures with uniqueness are characterized as the quotients of free groups by normal subgroups possessing sets of free generators satisfying certain language-theoretic conditions.
متن کاملQuotients of Infinite Reflection Groups*
Let W be the Weyl group of a finite dimensional complex simple Lie algebra. The structure of W is quite well-known ; see [2, 3] for instance. In particular, W is finite and W/O2(W) is isomorphic to a symmetric group or an orthogonal or symplectic group over the field of two elements. It is natural to consider certain infinite analogues W(p,q,r) of such Weyl groups and inquire about their struct...
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We prove several results on the structure of solvable quotients of fundamental groups of compact Kähler manifolds (Kähler groups).
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ژورنال
عنوان ژورنال: Tamkang Journal of Mathematics
سال: 1997
ISSN: 2073-9826,0049-2930
DOI: 10.5556/j.tkjm.28.1997.4304