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We prove that the Williams conjecture is false for irreducible subshifts of finite type using relative sign-gyration numbers defined between different subshifts.

Copyright 1997 American Mathematical Society

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Article Info

• ERA Amer. Math. Soc. 03 (1997), pp. 105-109
• Publisher Identifier: S 1079-6762(97)00032-2
• 1991 Mathematics Subject Classification. Primary 58F03, 54H20
• Key words and phrases. Williams conjecture, irreducible subshift of finite type, strong shift equivalence, gyration numbers
• Received by the editors June 5, 1997
• Posted on October 16, 1997
• Communicated by Svetlana Katok
• Accompanying program (Maple)

K. H. Kim

Mathematics Research Group, Alabama State University, Montgomery, AL 36101-0271, and Korean Academy of Science and Technology

E-mail address: kkim@asu.alasu.edu

F. W. Roush

Mathematics Research Group, Alabama State University, Montgomery, AL 36101-027

E-mail address: froush@asu.alasu.edu

The authors were partially supported by NSF Grants DMS 9024813 and DMS 9405004.