Gregory Cherlin, Publication List; less recent

Last first.

Recent publications

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Older publications:
• 89. Universal graphs with a forbidden subtree, with S. Shelah
J. Comb. Theory, Series B, 97 (2007), 293-333.


• 88. A generic identification theorem for L*-groups of finite Morley rank with A. Berkman, A. Borovik, and J. Burdges
J. Algebra, 319 (2008), 50-76.


• 87. Universal graphs with a forbidden near-path or 2-bouquet, with L. Tallgren
J. Graph Theory, 56 (2007), 41-63. copyright Wiley Periodicals


• 86. A note on orthogonality and stable embeddedness, with E. Hrushovski and M. Djordjevic
J. Symbolic Logic 70 (2005), 1359-1364


• 85. Minimal connected simple groups of finite Morley rank with strongly embedded subgroups, with J. Burdges and E. Jaligot
J. Algebra 314 (2007), 581-612


• 84. Good tori in groups of finite Morley rank
J. Group Theory 8 (2005), 613-621


• 83. Categoricity in power n+2,
Discrete Mathematics 291 (2005), 55-71


82. Locally finite generalized quadrangles with at most 5 points per line,
Discrete Mathematics 291 (2005), 73-79.


81. Tame minimal simple groups of finite Morley rank, with E. Jaligot.
J. Algebra 276 (2004), 13-79
 
80. Limoncello, with T. Altinel.
J. Algebra, 291 (2005), 371-413.


79. Simple L*-groups of even type with weakly embedded subgroups, with T. Altinel.
J. Algebra, 286 (2005), 76-106
78. Simple groups of finite Morley rank, 2002
in Proceedings of Euroconference on Model Theory and its Applications, Belair, Chatzidakis, d'Aquino, Marker, Otero, Point, Wilkie, eds.,
Quaderni di Matematica 11 (2005), 41-72.
77. Simple L*-groups of even type with strongly embedded subgroups, with T. Altinel.
J. Algebra 272 (2004), 95-127.
76. Classification of simple K*-groups of finite Morley rank and of even type: geometric aspects, with T. Altinel and A. Borovik
Groups, combinatorics, and geometry (Durham 2001), 1-12, World Sci. Publishing, River Edge NJ, 2003.
75. Parabolic 2-local subgroups in groups of finite Morley rank of even type,
with T. Altinel, A. Borovik, and L.-J. Corredor
J. Algebra 269 (2003), 250-262
74. On groups of Finite Morley Rank of Even Type, with T. Altinel,
J. Algebra 264 (2003), 155-185
73. Borovik-Poizat rank and stability, with J. Burdges,
J. Symbolic Logic, 67 (2002), 1570-1578.
72. Pushing up and C(G,T) in groups of finite Morley rank of even type
With T. Altinel and A. Borovik.
J. Algebra 247 (2002), 541-576.
71. Two cardinal properties of homogeneous graphs, with S. Thomas.
J. Symbolic Logic, 67 (2002), 217-220
 
70. Finite structures with few types, with E. Hrushovski, Annals of Mathematics Studies, PUP, Princeton, 193 pp., January 2003.
Full version in pdf

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In 7 parts, dvi (older)
Part 1 with title page (158 K)
Part 2 (77K)
Part 3 (71K)
Part 4 (111K)
Part 5 (127K)
Part 6 (111K)
Part 7 (61K) (with references and index)

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Additional notes (2/2004)
 
69. Minimal antichains in well-founded quasi-orders with an application to tournaments, with B. Latka
J. Combinatorial Theory Series B. 80 (2000), 258-276. `
68. Forbidden subgraphs and forbidden substructures, with N. Shi, J. Symbolic Logic 66 (2001), 1342-1352.
67. Groups of finite Morley rank and even type with strongly closed abelian subgroups, with T. Altinel and A. Borovik
J. Algebra 232 (2000), 420-461.
66. The classification of finite homogeneous groups (with U. Felgner)
J. London Math. Society 62 (2000), 784-794.
65. Sporadic homogeneous structures
The Gelfand Mathematical Seminars, 1996-1999, pp. 15-48, Birkhäuser, 2000.
64. Infinite imprimitive homogeneous 3-edge-colored complete graphs, J. Symbolic Logic 64 (1999), 159-179.
63. Central extensions of algebraic groups of finite Morley rank, with T. Altinel, JSL 64 (1999), 68-74.
62. A Hall theorem for omega-stable groups, with T. Altinel, L.-J. Corredor, and A. Nesin, J. London Math. Society, 13 pp. J. London Math. Soc. 57 (1998), 385-397.
61. On groups of finite Morley rank with weakly embedded subgroups, with T. Altinel and A. Borovik
J. Algebra 211 (1999), 409-456. (180K)
 
60. Universal graphs with forbidden subgraphs and algebraic closure, with S. Shelah and N. Shi
Advances in Applied Mathematics 22 (1999), 454-491.
59. Large finite structures with few types
In Proceedings of a NATO Instructional Conference, Toronto, 1996. Lachlan et al, eds., in B. T. Hart et al., Algebraic Model Theory, 53-105, Kluwer Academic Publishers, 1997.

58. Groups of mixed type, with T. Altinel and A. Borovik,
J. Algebra 192 (1997), 524-571.
57. Graphs omitting a bushy tree, with N. Shi and L. Tallgren
J. Graph Theory 26 (1997), 203-210.
56. Graphs omitting sums of complete graphs, with N. Shi, J. Graph Theory 24 (1997), 237-247.
55. Graphs omitting a finite set of cycles, with N. Shi, J. Graph Theory 21 (1997), 351-355. MR 96k:05106.
54. Arities of permutation groups: wreath products and k-sets, with G. Martin and D. Saracino, J. Combinatorial Theory Series A 74 (1996), 249-286. MR 97c:20001.
53. An integer lattice arising in the model theory of wreath products, with Gary Martin, in Logical Methods: In Honor of Anil Nerode's Sixtieth Birthday, Progress in Computer Science 12, J. N. Crossley et al, eds., Birkhäuser, Boston, 1993, 178-193. MR 95i:03071.
52. There is no universal countable pentagon-free graph, with P. Komjath, J. Graph Theory 18 (1994), 337-341. MR 95c:05072.
51. Homogeneous directed graphs, in Finite and infinite combinatorics in sets and logic (Banff, 1991), NATO ASI Ser. C Math. Phys. Sci., 411, Kluwer, Dordrecht, 1993. MR 94m:05092.
 
50. The Classification of Countable Homogeneous Directed Graphs and Countable Homogeneous n-Tournaments
  AMS Memoir 131 Number 621, January 1998, xi+161pp. AMS, Rhode Island.
49. On homogeneous nilpotent groups and rings, with D. Saracino and C. Wood,
Proceedings American Math. Society 119 (1993), 1289-1306. MR 94a:03059.
48. Combinatorial problems connected with finite homogeneity, in Proceedings of the Novosibirsk
Conference on Model Theory and Algebra (1989),   Contemporary Mathematics 131 (1992), 3-30. MR 93m:03054.
47. Sharply transitive linear groups over algebraically closed fields, (with T. Grundhofer, A. Nesin, and H. Völklein), Proceedings A.M.S. 111 (1991), 541-550. MR 91f:20002.
46. Homogeneous solvable groups (with U. Felgner), J. London Math. Soc 44 (1991), 102-120. MR 92m:20027.
45. Homogeneous tournaments revisited, Geometriae Dedicatae 26 (1988), 231-240.
44. Orthogonal types in separably closed fields (with Z. Chatzidakis, S. Shelah, G. Srour, C. Wood), in Classification Theory, J. Baldwin ed., LNM 1292 (1987), 72-88.
43. Homogeneous directed graphs I. The imprimitive case, Logic Colloquium 1985, Lolli et al. eds., 1987, 67-88.
42. Stable finitely homogeneous structures (with A. Lachlan), Transactions American Mathematical Society 296 (1986), 815-850.
41. Some undecidable theories over p.a.c. fields (with M. Jarden), Annals of Pure and Applied Logic 30 (1986), 137-163.
 
40. ₀-categorical, ₀-stable structures (with L. Harrington and A. Lachlan), Annals of Pure and Applied Logic 28 (1985), 103-135.
39. On extensions of Presburger arithmetic, with Francoise Point, in Proceedings of the fourth Easter conference on model theory, (Gross Koeris, 1986), 17-34, Seminarberichte, 86, Humboldt Univ., Berlin, 1986. 03B25 (03C10 03F30) MR 87k:03002.
38. Decidable theories of pseudo-algebraically closed fields, in Models and Sets, Müller and Richter eds., LNM 1103, Springer, NY, 1985, 83-101.
37. Aspects of ₀-categorical theories, Proceedings of the Seventh ICLMPS, Salzburg, 1983, North-Holland, Amsterdam, 1986, 99-114.
36. Convexity properties and algebraic closure operators (with H. Volger), Logic Colloquium 1983, Müller and Richter eds., Lecture Notes Math. 1103 (1985), 113-146.
35. Real closed rings II. Model theory (with M. Dickmann), Annals of Pure and Applied Logic 25 (1983), 213-231.
34. Real closed rings I. Residue rings of rings of continuous functions (with M. Dickmann), Fundamenta Mathematicae 126 (1986), 213-231.
33. Totally categorical theories, in Proceedings of the ICM 1983, PWN, Warsaw, 1984, pp. 301-306.
32. Definability in power series rings of nonzero characteristic, Logic Colloquium 1983, Müller and Richter eds., Lecture Notes Math. 1103 (1985), 102-112.
31. Homogeneous finite groups (with U. Felgner), Logic Colloquium 1980, van Dalen et al. eds., 1982, 69-81.
 
30. Undecidability of rational function fields in characteristic p, Logic Colloquium 1982, Lolli et al. eds., 1984, 85-95.
29. Decidability and undecidabilty theorems for p.a.c. fields, (with Macintyre, van den Dries), Bulletin of the AMS 4 (1981), 101-104.
28. Note on a nullstellensatz (with Max Dickmann), in Model theory and arithmetic (Paris, 1979-1980), pp. 111-114, Lecture Notes in Math., 890, Springer, Berlin-New York, 1981. MR 83h:12032.
27. QE rings in characteristic pⁿ (with C. Berline), J. Symbolic Logic 48 (1983), 140-162.
26. QE nilrings of prime characteristic (with C. Berline), Bull. Acad. Math. Belg. Ser. B 33 (1981), 3-17.
25. QE rings in characteristic p (with C. Berline), in Model Theory Year, M. Lerman et al. eds., Lecture Notes Math. 859 (1980), 16-31.
24. Rings of continuous functions: decision problems, in Model Theory of Algebra and Arithmetic, L. Pacholski et al. eds., Lecture Notes Math. 834 (1980), 44-92.
23. Locally pure topological abelian groups: Elementary invariants (with P. Schmitt), Annals of Pure and Applied Logic 24 (1983), 49-85.
22. Undecidable L^t theories of topological abelian groups (with P. Schmitt), J. Symbolic Logic 46 (1981), 761-772.
21. Anneaux réels clos et anneaux de fonctions continues (with M. Dickmann), Contes Rendus Acad. Sciences 290 (1980), 1-4.
 
20. Superstable fields and groups (with S. Shelah), Annals of Mathematical Logic 18 (1980), 227-270.
19. Elimination des quantificateurs dans les faisceaux (with M. Boffa), Contes Rendus Acad. Sciences 290 (1980), 355-357.
18. Stable algebraic theories, Logic Colloquium 1978, Boffa et al. eds., 1979, 53-74.
17. ₀-categorical nilrings II. J. Symbolic Logic 45 (1980), 291-301.
16. ₀-categorical nilrings, Algebra Universalis 10 (1980), 27-30.
15. Superstable division rings, Logic Colloquium 1977, Macintyre et al. eds., 1978, 99-111.
14. Groups of small Morley rank, Annals of Mathematical Logic 17 (1979), 1-28.
13. On totally categorical groups (with W. Baur and A. Macintyre), J. Algebra 57 (1979), 407-440.
12. On ₀-categorical abelian-by-finite groups, (with J. Rosenstein), J. Algebra 53 (1978), 188-226.
11. Amalgamation bases for commutative rings, Israel J. Mathematics 25 (1976), 87-96.
 
10. Model Theoretic Algebra: Selected Topics, Lecture Notes Math. 521 (1975).
9. Lindenbaum algebras and model companions, Fundamenta Mathematicae 104(1979), 213-219.
8. Categoricity and stability of commutative rings (with J. Reineke), Annals of Mathematical Logic 10 (1976), 367-399.
7. Ideals in some nonstandard dedekind rings, in Proceedings of the Louvain Model Theory Colloquium (1975),
P. Henrard ed., Editions Paul Castella, 1661 Albeuve, Switzerland, 1977, 28 pp.
6. Model theoretic algebra, J. Symbolic Logic 41 (1976), 537-545.
5. Ideals of integers in nonstandard models of arithmetic, in Model Theory and Algebra, Weispfenning and Saracino eds., Lecture Notes Math. 498 (1975), pp. 60-90.
4. Algebraically closed commutative rings, J. Symbolic Logic 38 (1973), 493-499.
3. Second order forcing, existentially complete structures, and large cardinals
Fundamenta Mathematicae 87 (1975), 141-160.
2. The model companion of a class of structures
J. Symbolic Logic 37 (1972), 546-556.
1. Ultrafilters and ultraproducts in nonstandard analysis, (with J. Hirschfeld)
In Contributions to Nonstandard Analysis, Luxemburg and Robinson, eds., North-Holland 1972, 261-279.

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