Algebraic Q-groups as abstract groups / Olivier Frécon

By: Contributor(s): Resource type: Ressourcentyp: Buch (Online)Book (Online)Language: English Series: Memoirs of the American Mathematical Society ; volume 255, number 1219Publisher: Providence, Rhode Island : American Mathematical Society, 2018Description: 1 Online-Ressource (v, 99 pages)Subject(s): Additional physical formats: 1470429233 | 9781470429232 | 1470448157. | 9781470448158. | Erscheint auch als: ALGEBRAIC Q-GROUPS AS ABSTRACT GROUPS. Druck-Ausgabe [S.l.] : AMER MATHEMATICAL SOCIETY, 2018DDC classification:
  • 512/.2
Online resources: Summary: "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 Q-group, the main theorem describes all the affine algebraic Q-groups 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 Q-groups 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"--PPN: PPN: 1041733194Package identifier: Produktsigel: ZDB-4-NLEBK
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