Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
9496515 | Journal of Number Theory | 2005 | 15 Pages |
Abstract
Ledrappier introduced the following type of space of doubly indexed sequences over a finite abelian group G,XGâ(xs,t)âGZ2|xs,t+1=xs,t+xs+1,t for all s,tâZ.The group Z2 acts naturally on the space XG via left and upward shifts. We show that the periodic point data of XG determine the group G up to isomorphism. This is extending work of Ward, using a new way to calculate periodic point numbers based on the study of polynomials over Z/pn/Z and Teichmüller systems. Our approach unifies Ward's treatment of the two known Wieferich primes with that of all other primes and settles the cases of arbitrary Wieferich primes and the prime two.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
C.G.J. Roettger,