Some results on the classification of expansive automorphisms of compact abelian groups
1996 ◽
Vol 16
(1)
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pp. 45-50
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Keyword(s):
AbstractIn this paper we study expansive automorphisms of compact 0-dimensional abelian groups. Our main result is the complete algebraic and topological classification of the transitive expansive automorpisms for which the maximal order of the elements isp2for a primep. This yields a classification of the transitive expansive automorphisms with topological entropy logp2. Finally, we prove a necessary and sufficient condition for an expansive automorphism to be conjugated, topologically and algebraically, to a shift over a finite group.
1985 ◽
Vol 27
(4)
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pp. 381-391
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2000 ◽
Vol 23
(4)
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pp. 279-283
2015 ◽
Vol 22
(spec01)
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pp. 969-974
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2010 ◽
Vol 88
(3)
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pp. 363-383
2019 ◽
Vol 102
(1)
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pp. 91-95
1967 ◽
Vol 19
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pp. 1250-1258
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