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.

Voir la notice de l'article provenant de la source American Mathematical Society

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 
@article{ERAAMS_1997_03_a15,
     author = {Kim, K. and Roush, F.},
     title = {The {Williams} conjecture is false for irreducible subshifts},
     journal = {Electronic research announcements of the American Mathematical Society},
     pages = {105--109},
     publisher = {mathdoc},
     volume = {03},
     year = {1997},
     doi = {10.1090/S1079-6762-97-00032-2},
     url = {http://geodesic.mathdoc.fr/articles/10.1090/S1079-6762-97-00032-2/}
}
TY  - JOUR
AU  - Kim, K.
AU  - Roush, F.
TI  - The Williams conjecture is false for irreducible subshifts
JO  - Electronic research announcements of the American Mathematical Society
PY  - 1997
SP  - 105
EP  - 109
VL  - 03
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.1090/S1079-6762-97-00032-2/
DO  - 10.1090/S1079-6762-97-00032-2
ID  - ERAAMS_1997_03_a15
ER  - 
%0 Journal Article
%A Kim, K.
%A Roush, F.
%T The Williams conjecture is false for irreducible subshifts
%J Electronic research announcements of the American Mathematical Society
%D 1997
%P 105-109
%V 03
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.1090/S1079-6762-97-00032-2/
%R 10.1090/S1079-6762-97-00032-2
%F ERAAMS_1997_03_a15
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. http://geodesic.mathdoc.fr/articles/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

Cité par Sources :