Critical exponents for groups of isometries
نویسندگان
چکیده
منابع مشابه
Critical Exponents for Groups of Isometries
Let Γ be a convex co-compact group of isometries of a CAT(−1) space X and let Γ0 be a normal subgroup of Γ. We show that, provided Γ is a free group, a sufficient condition for Γ and Γ0 to have the same critical exponent is that Γ/Γ0 is amenable. 0. Introduction and Results Let Γ be a group of isometries acting freely and properly discontinuously on a CAT(−1) space X . Roughly speaking, a CAT(−...
متن کاملGRAY ISOMETRIES FOR FINITE p-GROUPS
We construct two classes of Gray maps, called type-I Gray map and type-II Gray map, for a finite p-group G. Type-I Gray maps are constructed based on the existence of a Gray map for a maximal subgroup H of G. When G is a semidirect product of two finite p-groups H and K, both H and K admit Gray maps and the corresponding homomorphism ψ : H −→ Aut(K) is compatible with the Gray map of K in a sen...
متن کاملNorms, Isometries, and Isometry Groups
The study of linear algebra has become more and more popular in the last few decades. People are attracted to this subject because of its beauty and its connections with many other pure and applied areas. In theoretical development of the subject as well as in many applications, one often needs to measure the “length” of vectors. For this purpose, norm functions are considered on a vector space...
متن کاملMinimum Critical Exponents for Palindromes
We determine the minimum possible critical exponent for all palindromes over finite alphabets.
متن کاملCritical Exponents of Erbium
The exponent P that describes the sinusoidally modulate d * paramagnetic phase transition crosses over from a value of 0.39 near TN to a mean field value away from TN. Electrical resistivity measurements near TN are given for the c axis and the critical behaviour is discussed. Erbium orders below its NBel temperature TN= 85 K with its spins directed along the c axis of the hcp crystal and with ...
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: Geometriae Dedicata
سال: 2007
ISSN: 0046-5755,1572-9168
DOI: 10.1007/s10711-007-9137-9