论文标题
代数熵的添加性，用于本地有限基团的有限亚组
Additivity of the algebraic entropy for locally finite groups with permutable finite subgroups
论文作者
论文摘要
众所周知，相对于精确序列的添加性是组内态代数熵的基本特性。通过深入利用其结构，这证明了阿伯利亚群体的证明。另一方面，最近发现了一个可解决的反例，表明它一般不存在。然而，我们为Quasihamiltonian或FC组的本地有限群体的代数熵的添加性提供了相当简短的证明。
The additivity with respect to exact sequences is notoriously a fundamental property of the algebraic entropy of group endomorphisms. It was proved for abelian groups by deeply exploiting their structure. On the other hand, a solvable counterexample was recently found, showing that it does not hold in general. Nevertheless, we give a rather short proof of the additivity of the algebraic entropy for locally finite groups that are either quasihamiltonian or FC-groups.
