說明 
1 vol. (V99 p.) ; 26 cm 

txt rdacontent 

n rdamedia 

n isbdmedia 
系列 
Memoirs of the American Mathematical Society, 00659266 ; 1219


Memoirs of the American Mathematical Society ; 1219. 00659266

附註 
Bibliogr. p. 9596. Index 

Background material  Expanded pure groups  Unipotent groups over Q and definable linearity  Definably affine groups  Tori in expanded pure groups  The definably linear quotients of an ACFgroup  The group DG and the main theorem for K = Q  The main theorem for K =/= Q  Biinterpretability and standard isomorphisms 

"We analyze the abstract structure of algebraic groups over an algebraically closed field K. For K of characteristic zero and G a given connected affine algebraic Qgroup, the main theorem describes all the affine algebraic Qgroups H such that the groups H(K) and G(K) are isomorphic as abstract groups. In the same time, it is shown that for any two connected algebraic Qgroups G and H, the elementary equivalence of the pure groups G(K) and H(K) implies that they are abstractly isomorphic. In the final chapter, we apply our results to characterize the connected algebraic groups all of whose abstract automorphisms are standard, when K is either Q or of positive characteristic. In characteristic zero, a fairly general criterion is exhibited" Provided by publisher 
主題 
Qgroups

