Geodesic
The Williams conjecture is false for irreducible subshifts
Kim, K.1 ; Roush, F.2
1 Mathematics Research Group, Alabama State University, Montgomery, AL 36101-0271, and Korean Academy of Science and Technology
2 Mathematics Research Group, Alabama State University, Montgomery, AL 36101-0271
Electronic research announcements of the American Mathematical Society, Tome 03 (1997), pp. 105-109 Cet article a éte moissonné depuis la source American Mathematical Society

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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.
DOI : 10.1090/S1079-6762-97-00032-2

Kim, K. 1 ; Roush, F. 2

1 Mathematics Research Group, Alabama State University, Montgomery, AL 36101-0271, and Korean Academy of Science and Technology
2 Mathematics Research Group, Alabama State University, Montgomery, AL 36101-0271 
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Kim, K.; Roush, F. The Williams conjecture is false for irreducible subshifts. Electronic research announcements of the American Mathematical Society, Tome 03 (1997), pp. 105-109. doi: 10.1090/S1079-6762-97-00032-2

[1] Kim, K. H., Roush, F. W. Williams’s conjecture is false for reducible subshifts J. Amer. Math. Soc. 1992 213 215

[2] Kim, K. H., Roush, F. W., Wagoner, J. B. Automorphisms of the dimension group and gyration numbers J. Amer. Math. Soc. 1992 191 212

[3] Lind, Douglas, Marcus, Brian An introduction to symbolic dynamics and coding 1995

[4] Williams, R. F. Classification of subshifts of finite type Ann. of Math. (2) 1973

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