scholarly journals RANK 3 BINGO

2016 ◽  
Vol 81 (4) ◽  
pp. 1451-1480 ◽  
Author(s):  
ALEXANDRE BOROVIK ◽  
ADRIEN DELORO
Keyword(s):  
Abelian Groups ◽  
Morley Rank ◽  
Finite Morley Rank

AbstractWe classify irreducible actions of connected groups of finite Morley rank on abelian groups of Morley rank 3.

scholarly journals Actions of Groups of Finite Morley Rank on Small Abelian Groups

2009 ◽  
Vol 15 (1) ◽  
pp. 70-90 ◽  
Author(s):  
Adrien Deloro
Keyword(s):  
Vector Space ◽  
Abelian Groups ◽  
Morley Rank ◽  
Finite Morley Rank ◽  
Rank 2 ◽  
Dimension 2 ◽  
Natural Module ◽  
Identification Theorem

AbstractWe classify actions of groups of finite Morley rank on abelian groups of Morley rank 2: there are essentially two, namely the natural actions of SL(V) and GL(V) with V a vector space of dimension 2. We also prove an identification theorem for the natural module of SL2 in the finite Morley rank category.

scholarly journals On Groups of Finite Morley Rank with Weakly Embedded Subgroups

1999 ◽  
Vol 211 (2) ◽  
pp. 409-456 ◽  
Author(s):  
Tuna Altınel ◽  
Alexandre Borovik ◽  
Gregory Cherlin
Keyword(s):  
Morley Rank ◽  
Finite Morley Rank

scholarly journals Lascar and Morley ranks differ in differentially closed fields

1999 ◽  
Vol 64 (3) ◽  
pp. 1280-1284 ◽  
Author(s):  
Ehud Hrushovski ◽  
Thomas Scanlon
Keyword(s):  
Fundamental Issue ◽  
Morley Rank ◽  
Closed Fields ◽  
The Family ◽  
Finite Morley Rank

We note here, in answer to a question of Poizat, that the Morley and Lascar ranks need not coincide in differentially closed fields. We will approach this through the (perhaps) more fundamental issue of the variation of Morley rank in families. We will be interested here only in sets of finite Morley rank. Section 1 consists of some general lemmas relating the above issues. Section 2 points out a family of sets of finite Morley rank, whose Morley rank exhibits discontinuous upward jumps. To make the base of the family itself have finite Morley rank, we use a theorem of Buium.

scholarly journals Signalizers and balance in groups of finite Morley rank

2009 ◽  
Vol 321 (5) ◽  
pp. 1383-1406 ◽  
Author(s):  
Jeffrey Burdges
Keyword(s):  
Morley Rank ◽  
Finite Morley Rank

scholarly journals Tame minimal simple groups of finite Morley rank

2004 ◽  
Vol 276 (1) ◽  
pp. 13-79 ◽  
Author(s):  
Gregory Cherlin ◽  
Eric Jaligot
Keyword(s):  
Simple Groups ◽  
Morley Rank ◽  
Finite Morley Rank

On CN-Groups of Finite Morley Rank

1994 ◽  
Vol 50 (3) ◽  
pp. 532-546 ◽  
Author(s):  
Mark DeBonis ◽  
Ali Nesin
Keyword(s):  
Morley Rank ◽  
Finite Morley Rank

Special abelian Moufang sets of finite Morley rank

2008 ◽  
Vol 11 (5) ◽  
Author(s):  
Tom De Medts ◽  
Katrin Tent
Keyword(s):  
Morley Rank ◽  
Finite Morley Rank
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