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Original Articles

Atomic Properties of the Hawaiian Earring Group for HNN Extensions

Pages 4138-4147 | Received 30 Mar 2012, Published online: 06 Jul 2015

REFERENCES

  • Ackermann , P. , Fine , B. , Rosenberger , G. ( 2007 ). On Surface Groups: Motivating Examples in Combinatorial Group Theory . Groups St. Andrews 2005 . Vol. 1. London Math. Soc. Lecture Note Ser. , Vol. 339 . Cambridge : Cambridge Univ. Press , pp. 96 – 129 .
  • Cannon , J. W. , Conner , G. R. ( 2000 ). The combinatorial structure of the Hawaiian earring group . Topology and Its Applications 106 : 225 – 271 .
  • Collins , D. J. , Grigorchuk , R.I. , Kurchanov , P. F. , Zieschang , H. ( 1998 ). Combinatorial Group Theory and Applications to Geometry . Encyclopaedia of Mathematical Sciences , Vol. 58 . Springer .
  • Eda , K. ( 1992 ). Free σ-products and noncommutatively slender groups . J. Algebra 148 : 243 – 263 .
  • Eda , K. ( 2002 ). The fundamental groups of one-dimensional spaces and spatial homomorphisms . Topology and Its Applications 123 : 479 – 505 .
  • Eda , K. ( 2010 ). Homotopy types of one-dimensional Peano continua . Fund. Math. 209 : 27 – 42 .
  • Eda , K. ( 2011 ). Atomic property of the fundamental groups of the Hawaiian earring and wild locally path-connected spaces . Jour. Math. Soc. Japan 63 ( 3 ): 769 – 787 .
  • Eklof , P. C. , Mekler , A. H. ( 1990 ). Almost Free Modules . North-Holland .
  • Fischer , H. , Zastrow , A. ( 2005 ). The fundamental groups of the subsets of closed surfaces inject into their first shape groups . Algebraic & Geometric Topology 5 : 1655 – 1676 .
  • Fuchs , L. ( 1970 ). Infinite Abelian Groups . Vol. 2 . New York : Academic Press .
  • Göbel , R. ( 1975 ). Stout and slender groups . J. Algebra 35 : 39 – 55 .
  • Conner , G. , Eda , K. ( 2005 ). Fundamental groups having the whole information of spaces . Topology and Its Applications 146–147 : 317 – 328 .
  • Hall , M. Jr. ( 1959 ). The Theory of Groups . Chelsea Pub. Co .
  • Higman , G. ( 1952 ). Unrestricted free products and varieties of topological groups . J. London Math. Soc. 27 : 73 – 81 .
  • Lyndon , R. C. , Schupp , P. E. ( 1977 ). Combinatorial Group Theory . Ergebn. Math. Grenzgeb . Springer .
  • Communicated by M. Kambites.

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