On Variants of Cm-triviality
نویسندگان
چکیده
We introduce a generalization of CM-triviality relative to a fixed invariant collection of partial types, in analogy to the Canonical Base Property defined by Pillay, Ziegler and Chatzidakis which generalizes one-basedness. We show that, under this condition, a stable field is internal to the family, and a group of finite Lascar rank has a normal nilpotent subgroup such that the quotient is almost internal to the family.
منابع مشابه
F eb 2 00 7 Forking in the free group
We study model-theoretic and stability-theoretic properties of the nonabelian free group in the light of Sela’s recent result [15] on stability and results announced by Bestvina and Feighn on “negligible subsets” of free groups. We point out analogies between the free group and socalled bad groups of finite Morley rank, and prove “non CM -triviality”
متن کاملForking in the free group
We study model-theoretic and stability-theoretic properties of the nonabelian free group in the light of Sela’s recent result [15] on stability and results announced by Bestvina and Feighn on “negligible subsets” of free groups. We point out analogies between the free group and socalled bad groups of finite Morley rank, and prove “non CM -triviality” of the free group.
متن کاملThe Strongest Possible Lewisian Triviality Result
David Lewis [8, 7] published several triviality results involving The Equation. Since then, several other authors have published similar triviality results (see, e.g., [5, 11]). In section two, I will explain the basic ideas behind all of these Lewisian triviality results. In section three, I will prove a new Lewisian triviality result. In fact, I will prove the strongest possible result of thi...
متن کاملBody shape comparison of Big-head carp with two variants of silver carp using geometric morphometric techniques
In order to investigate the differences in the shape of the big-head and two morphotypes of Phytophagous fish by geometric morphometric technique, 30 samples of each group, with a mean standard length of 25 ± 3 cm, were prepared. After fish were anesthetized by 1% Clove powder extract and stabilized in formalin buffer 4%, 6-megapixel digital images of the left profile of the specimens were prep...
متن کاملEffect of Stat1 Variants on Milk Production Traits in Esfahan Holstein Cows
STATs are a family of latent transcription factors that reside in the cytoplasm of resting cells. The STAT1 transcription factor gene located on the chromosome 2 at interval 60 to 63 cM. This factor upon stimulation with INF gamma, dimerizes and translocate to the nucleus where mediates transcriptional regulation. In this study, we estimated the allele and genotype frequencies of STAT1/Pag<...
متن کامل