On a hierarchy of groups of computable automorphisms.
Displaying 21 – 40 of 75
On Cartesian Powers of a Rational Group.
Martin Huber (1979)
Mathematische Zeitschrift
On constructive nilpotent groups.
Khisamiev, N.G. (2007)
Sibirskij Matematicheskij Zhurnal
On divisibility in definable groups
Margarita Otero (2009)
Fundamenta Mathematicae
Let ℳ be an o-minimal expansion of a real closed field. It is known that a definably connected abelian group is divisible. We show that a definably compact definably connected group is divisible.
On some elementary properties of soluble groups of derived length 2.
Romanovskij, N. S., Timoshenko, E. I. (2003)
Sibirskij Matematicheskij Zhurnal
On some model theoretic problems concerning certain extensions of abelian groups by groups of finite exponent
Carlo Toffalori (2000)
Rendiconti del Seminario Matematico della Università di Padova
On the Rank of Ext.
Martin Huber, Paul C. Eklof (1980)
Mathematische Zeitschrift
On universal theories of metabelian groups and the Shmel'kin embedding.
Timoshenko, E.I. (2001)
Sibirskij Matematicheskij Zhurnal
ℳ-rank and meager groups
Ludomir Newelski (1996)
Fundamenta Mathematicae
Assume p* is a meager type in a superstable theory T. We investigate definability properties of p*-closure. We prove that if T has countable models then the multiplicity rank ℳ of every type p is finite. We improve Saffe’s conjecture.
Relative geometries
Thomas Blossier, Amador Martin-Pizarro, Frank Olaf Wagner (2015)
Journal of the European Mathematical Society
In this paper, we shall study type-definable groups in a simple theory with respect to one or several stable reducts. While the original motivation came from the analysis of definable groups in structures obtained by Hrushovski's amalgamation method, the notions introduced are in fact more general, and in particular can be applied to certain expansions of algebraically closed fields by operators.
Small profinite m-stable groups
Frank O. Wagner (2003)
Fundamenta Mathematicae
A small profinite m-stable group has an open abelian subgroup of finite ℳ-rank and finite exponent.
Some model theory of simple algebraic groups over algebraically closed fields
B. I. Zilber (1984)
Colloquium Mathematicae
Some structure theorems for inverse ω-semigroups
C. Applebaum (1978)
Fundamenta Mathematicae
Strong boundedness and algebraically closed groups
Barbara Majcher-Iwanow (2007)
Commentationes Mathematicae Universitatis Carolinae
Let be a non-trivial algebraically closed group and be a subset of generating in infinitely many steps. We give a construction of a binary tree associated with . Using this we show that if is -existentially closed then it is strongly bounded.
Tarski's problem about the elementary theory of free groups has a positive solution.
Kharlampovich, Olga, Myasnikov, Alexei (1998)
Electronic Research Announcements of the American Mathematical Society [electronic only]
The elementary theory of Abelian groups with m-chains of pure subgroups
Andreas Baudisch (1981)
Fundamenta Mathematicae
The homomorphic images of infinite symmetric groups.
Ulrich Felgner, Frieder Haug (1993)
Forum mathematicum
Theorems on groups of finite Morley rank analogous to theorems on finite groups.
Corredor, Luis Jaime, Ortiz, Fabio (2002)
Revista Colombiana de Matemáticas
Torsion-free constructive nilpotent -groups.
Khisamiev, N.G. (2009)
Sibirskij Matematicheskij Zhurnal
Ultraproduits des groupes finis et applications à la théorie de Galois
Klaus Potthoff (1979)
Publications du Département de mathématiques (Lyon)