中文

一种高效计算自由群自同构不动点子群基的算法

群论 2014-01-16 v6

摘要

我们证明,对于有限秩自由群 F 的任意自同构 α,均可高效计算其不动点子群 Fix(α) 的一组基。

关键词

引用

@article{arxiv.1204.6728,
  title  = {An efficient algorithm for finding a basis of the fixed point subgroup of an automorphism of a free group},
  author = {Oleg Bogopolski and Olga Maslakova},
  journal= {arXiv preprint arXiv:1204.6728},
  year   = {2014}
}

备注

68 pages, 23 figures. Added: Splitting Lemma in Section 11, and an algorithm for finding of normal verices in Section 7