Remote Access Transactions of the American Mathematical Society
Green Open Access

Transactions of the American Mathematical Society

ISSN 1088-6850(online) ISSN 0002-9947(print)

 

 

Groups and fields interpretable in separably closed fields


Author: Margit Messmer
Journal: Trans. Amer. Math. Soc. 344 (1994), 361-377
MSC: Primary 03C60; Secondary 12L12, 20G99
DOI: https://doi.org/10.1090/S0002-9947-1994-1231337-6
MathSciNet review: 1231337
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: We prove that any infinite group interpretable in a separably closed field F of finite Eršov-invariant is definably isomorphic to an F-algebraic group. Using this result we show that any infinite field K interpretable in a separably closed field F is itself separably closed; in particular, in the finite invariant case K is definably isomorphic to a finite extension of F.


References [Enhancements On Off] (What's this?)


Similar Articles

Retrieve articles in Transactions of the American Mathematical Society with MSC: 03C60, 12L12, 20G99

Retrieve articles in all journals with MSC: 03C60, 12L12, 20G99


Additional Information

DOI: https://doi.org/10.1090/S0002-9947-1994-1231337-6
Article copyright: © Copyright 1994 American Mathematical Society