SECOND ORDER DEHN FUNCTIONS OF SPLIT EXTENSIONS OF THE FORM

REFERENCES

• Alonso , J.M. , Bogley , W.A. , Burton , M. , Pride , S.J. and Wang , X. 1998 . Second Order Dehn Functions of Groups . Quart. J. of Math., Oxford , 49 ( 2 ) : 1 – 30 .
   Google Scholar
• Alonso , J.M. , Wang , X. and Pride , S.J. 1999 . Higher Dimensional Isoperimetric (or Dehn) Functions of Groups . J. Group Theory , 2 : 81 – 112 .
   Web of Science ®Google Scholar
• Bogley , W.A. and Pride , S.J. 1993 . “ Calculating Generators of ” . In Low-Dimensional Homotopy Theory and Combinatorial Group Theory Edited by: Hog-Angeloni , C. , Metzler , W. and Sieradski , A. 157 – 188 . Cambridge University Press .
   Google Scholar
• Bridson, M.R.; Gersten, S.M. The Optimal Isoperimetric Inequality for Torus Bundles over the Circles; preprint, Oxford Univ., 1992
   Google Scholar
• Coulhon , T. and Saloff-Coste , L. 1998 . Isoperimetrie Pour les Groupes et les Varietes . Revista Mat. Iberoamericana , 9 : 293 – 314 .
   Google Scholar
• Epstein , D.B.A. , Cannon , J.W. , Holt , D.F. , Levy , S.V. , Paterson , M.S. and Thurston , W.P. 1992 . Word Processing in Groups Boston : Bartlett and Jones .
   Google Scholar
• Gromov , M. 1987 . “ Hyperbolic Groups ” . In Essays in Group Theory Vol. 8 , 75 – 263 . MSRI Publ. Springer-Verlag .
   Google Scholar
• Hill , P. and Pride , S.J. 1985 . Commutators, Generators and Conjugacy Equations in Groups . Arch. Math. , 44 : 1 – 14 .
   Web of Science ®Google Scholar
• Magnus , W. , Karras , A. and Solitar , D. 1966 . Combinatorial Group Theory , 2 New York : Dover Publication .
   Google Scholar
• Pride , S.J. 1991 . “ Identities among Relations of Group Presentations ” . In Group Theory from a Geometric Viewpoint, Trieste 1990 Edited by: Ghys , E. , Haefliger , A. and Verjovsky , A. 687 – 717 . Singapore : World Scientific Publishing .
   Google Scholar
• Wang, X. Second Order Dehn Functions of Groups and Monoids, Ph.D. thesis, University of Glasgow, 1996
   Google Scholar
• Wang , X. 1999 . Mappings of Groups and Quasi-retraction . J. Group Theory , 2 : 435 – 446 .
   Web of Science ®Google Scholar
• Wang , X. and Pride , S.J. 1999 . Second Order Dehn Functions of HNN Extensions of Groups . J. Austral. Math. Soc. , 67 ( series A ) : 272 – 288 .
   Google Scholar
• Wang , X. and Pride , S.J. 2000 . Second Order Dehn Functions of Groups and Monoids . Int. J. Alg. Comp , 10 : 425 – 456 .
   Web of Science ®Google Scholar