Geodesic
Inert actions on periodic points
Kim, K.1 ; Roush, F.1 ; Wagoner, J.2
1 Department of Mathematics, Alabama State University, Montgomery, Alabama 36101
2 Department of Mathematics, UCB, Berkeley, California 94720
Electronic research announcements of the American Mathematical Society, Tome 03 (1997), pp. 55-62.

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

The action of inert automorphisms on finite sets of periodic points of mixing subshifts of finite type is characterized in terms of the sign-gyration-compatibility condition. The main technique used is variable length coding combined with a “nonnegative algebraic K-theory" formulation of state splitting and merging. One application gives a counterexample to the Finite Order Generation Conjecture by producing examples of infinite order inert automorphisms of mixing subshifts of finite type which are not products of finite order automorphisms.
DOI : 10.1090/S1079-6762-97-00024-3

Kim, K. 1 ; Roush, F. 1 ; Wagoner, J. 2

1 Department of Mathematics, Alabama State University, Montgomery, Alabama 36101
2 Department of Mathematics, UCB, Berkeley, California 94720 
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Kim, K.; Roush, F.; Wagoner, J. Inert actions on periodic points. Electronic research announcements of the American Mathematical Society, Tome 03 (1997), pp. 55-62. doi : 10.1090/S1079-6762-97-00024-3. http://geodesic.mathdoc.fr/articles/10.1090/S1079-6762-97-00024-3/

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