The Entropy of an Automorphism of a Solenoidal Group
The Entropy of an Automorphism of a Solenoidal Group
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螺线管群自同构的熵
DOI：
10.1137/1104025
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发表时间：
1959
影响因子：
0.6
通讯作者：
L. Abramov
中科院分区：
文献类型：
--
作者：
L. Abramov
设X表示有理数加性群R的子群的特征标群，T表示群R的自同构伴以不可约分数${m/n}$给出的自同构群。本文证明了这种自同构的熵等于$\log(\max|m|，n\)$。
Let us denote by X a group of characters for the subgroup R of an additive group of rational numbers and by T its automorphism adjoint to the automorphism of the group R, which is given by multiplying by the irreducible fraction ${m / n}$. In this paper it is proved that the entropy of such an automorphism equals $\log (\max \{ |m|,n\} )$.