Some infinitely based varieties of groups
نویسندگان
چکیده
منابع مشابه
Conjugacy Growth Series of Some Infinitely Generated Groups
It is observed that the conjugacy growth series of the infinite finitary symmetric group with respect to the generating set of transpositions is the generating series of the partition function. Other conjugacy growth series are computed, for other generating sets, for restricted permutational wreath products of finite groups by the finitary symmetric group, and for alternating groups. Similar m...
متن کاملThe Limit Sets of Some Infinitely Generated Schottky Groups
Let P be a packing of balls in Euclidean space E" having the property that the radius of every ball of P lies in the interval [l//c, k]. If G is a Schottky group associated to P , then the Hausdorff dimension of the topological limit set of G is less than a uniform constant C(k, n) < n. In particular, this limit set has zero volume.
متن کاملWeakly infinitely divisible measures on some locally compact Abelian groups
Let G be a locally compact Abelian topological group having a countable basis of its topology. We also suppose that G has the T0–property, that is, ⋂ U∈Ne U = {e}, where e denotes the identity element of G and Ne is the collection of all Borel neighbourhoods of e. (By a Borel neighbourhood U of e we mean a Borel subset of G for which there exists an open subset Ũ of G such that e ∈ Ũ ⊂ U.) Let ...
متن کاملInfinitely Generated Veech Groups
We give a positive response to a question of W. Veech: Infinitely generated Veech groups do exist.
متن کاملChow Groups of Some Generically Twisted Flag Varieties
We classify the split simple affine algebraic groups G of types A and C over a field with the property that the Chow group of the quotient variety E/P is torsion-free, where P ⊂ G is a special parabolic subgroup (e.g., a Borel subgroup) and E is a generic G-torsor (over a field extension of the base field). Examples of G include the adjoint groups of type A. Examples of E/P include the Severi-B...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of the Australian Mathematical Society
سال: 1973
ISSN: 0004-9735
DOI: 10.1017/s1446788700013914