CONSTRUCTING SIMPLE GROUPS FOR LOCALIZATIONS

REFERENCES

• Aubry , M. 1995 . Homotopy Theory and Models, Based on Lectures Held at a DMV Seminar in Blaubeuren Edited by: Baues , H.J. , Halperin , S. and Lemaire , J.-M. Vol. 24 , Basel : Birkhäuser Verlag . DMV Seminar
   Google Scholar
• Casacuberta , C. 1994 . Recent Advances in Unstable Localization, CRM Proceedings and Lecture Notes 6 . Amer. Math. Soc., Providence , : 1 – 22 .
   Google Scholar
• Casacuberta , C. , Rodríguez , J. L. and Tai , J.-Y. 1998 . Localizations of Abelian Eilenberg-Mac Lane Spaces of Finite Type preprint
   Google Scholar
• Casacuberta , C. , Scevenels , D. and Smith , J. H. 1998 . Implications of Large-Cardinal Principles in Homotopical Localization preprint
   Google Scholar
• Corner , A.L.S. and Göbel , R. 1985 . Prescribing Endomorphism Algebras — A Unified Treatment . Proc. London Math. Soc. , 50 ( 3 ) : 447 – 479 .
   Google Scholar
• Dror Farjoun , E. 1996 . “ Lecture Notes in Math. ” . In Cellular Spaces, Null Spaces and Homotopy Localization Vol. 1622 , Berlin, Heidelberg, New York : Springer-Verlag .
   Google Scholar
• Dugas , M. and Göbel , R. 1993 . On Locally Finite p-Groups and A Problem of Philip Hall's . Journal of Algebra , 159 : 115 – 138 .
   Web of Science ®Google Scholar
• Dugas , M. , Mader , A. and Vinsonhaler , C. 1987 . Large E-rings Exist . J. Algebra , 108 : 88 – 101 .
   Web of Science ®Google Scholar
• Eklof , P.C. and Mekler , A.H. 1990 . Almost Free Modules. Set-Theoretic Methods North-Holland, Amsterdam, New York
   Google Scholar
• Franzen , B. and Göbel , R. 1989 . Prescribing Endomorphism Algebras . The Cotorsion-Free Case. Rend. Sem. Mat. Padova , 80 : 215 – 241 .
   Google Scholar
• Göbel , R. and Paras , A. 2000 . Outer Automorphism Groups of Metabelian Groups . Journal of Pure and Applied Algebra , 149 : 251 – 266 .
   Web of Science ®Google Scholar
• Göbel , R. , Rodríguez , J. L. and Shelah , S. Large Localizations of Finite Simple Groups to appear Crelle Journal 2001
   Google Scholar
• Göbel , R. and Shelah , S. Philip Hall's Problem on Non-Abelian Splitters submitted to Proc. Camb. Phil. Soc. 2000
   Google Scholar
• Göbel , R. and Shelah , S. Simple Extensions of Groups in preparation 2001
   Google Scholar
• Hart , B. , Laflamme , C. and Shelah , S. 1993 . Models with Second Order Properties V: A General Principle . Ann. Pure Appl. Logic , 64 : 169 – 194 .
   Web of Science ®Google Scholar
• Jech , T. 1978 . Set Theory New York : Academic Press .
   Google Scholar
• Libman , A. “ Cardinality and Nilpotency of Localizations of Groups and G-Modules. Israel J. Math. ” . to appear
   Google Scholar
• Libman , A. 1998 . A Note on the Localization of Finite Groups preprint
   Google Scholar
• Lyndon , R.C. and Schupp , P.E. 1977 . Combinatorial Group Theory Vol. 89 , Berlin, Heidelberg, New York : Springer Ergebnisberichte .
   Google Scholar
• Robinson , D. 1996 . A Course in the Theory of Groups Vol. 80 , Berlin, Heidelberg, New York : Graduate Texts in Math. .
   Google Scholar
• Schupp , P.E. 1987 . A Characterization of Inner Automorphisms . Proc. Amer. Math. Soc. , 101 : 226 – 228 .
   Web of Science ®Google Scholar
• Shelah , S. 1980 . On a Problem of Kurosh, Jonsson Groups and Applications Edited by: Adian , S.I. , Boone , W.W. and Higman , G. 373 – 394 . North-Holland, Amsterdam Word Problems II
   Google Scholar
• Shelah , S. 2001 . Non Structure Theory Oxford University Press . in preparation
   Google Scholar
• Shelah , S. 1984 . “ A Combinatorial Theorem and Endomorphism Rings of Abelian Groups II ” . In Abelian groups and modules Vol. 287 , 37 – 86 . Wien : Springer . CISM Courses and Lectures
   Google Scholar
• Whitehead , G.W. 1978 . Elements of Homotopy Theory Vol. 61 , Berlin, Heidelberg, New York : Graduate Texts in Math.; Springer-Verlag .
   Google Scholar