Elementary group equivalence with the integral length function
نویسندگان
چکیده
منابع مشابه
On Elementary Equivalence, Isomorphism and Isogeny of Arithmetic Function Fields
Motivated by recent work of Florian Pop, we study the connections between three notions of equivalence of function fields: isomorphism, elementary equivalence, and the condition that each of a pair of fields can be embedded in the other, which we call isogeny. Some of our results are purely geometric: we give an isogeny classification of Severi-Brauer varieties and quadric surfaces. These resul...
متن کاملElementary equivalence versus Isomorphism
1) The isomorphy type of a finite field K is given by its cardinality |K|, i.e., if K and L are such fields, then K ∼= L iff |K| = |L|. 1) The isomorphy type of an algebraically closed field K is determined by two invariants: (i) Absolute transcendence degree td(K), (ii) The characteristic p = char(K) ≥ 0. In other words, if K and L are algebraically closed fields, then K ∼= L iff td(K) = td(L)...
متن کاملElementary Equivalence of Profinite Groups
There are many examples of non-isomorphic pairs of finitely generated abstract groups that are elementarily equivalent. We show that the situation in the category of profinite groups is different: If two finitely generated profinite groups are elementarily equivalent (as abstract groups), then they are isomorphic. The proof applies a result of Nikolov and Segal which in turn relies on the class...
متن کاملthe past hospitalization and its association with suicide attempts and ideation in patients with mdd and comparison with bmd (depressed type) group
چکیده ندارد.
Co-elementary Equivalence, Co-elementary Maps, and Generalized Arcs
By a generalized arc we mean a continuum with exactly two non-separating points; an arc is a metrizable generalized arc. It is well known that any two arcs are homeomorphic (to the real closed unit interval); we show that any two generalized arcs are co-elementarily equivalent, and that co-elementary images of generalized arcs are generalized arcs. We also show that if f : X → Y is a function 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: Illinois Journal of Mathematics
سال: 1986
ISSN: 0019-2082
DOI: 10.1215/ijm/1256044642