amalgamated 自由积与 HNN 扩张的秩梯度与 p-梯度
群论
2014-07-18 v2
摘要
我们计算了自由积、在可 amenability 子群上 amalgamated 的自由积以及具有可 amenability 关联子群的 HNN 扩张的秩梯度和 p-梯度。利用 cost 的概念来计算 amalgamated 自由积和 HNN 扩张的秩梯度。对于 p-梯度，将使用关于 amalgamated 自由积和 HNN 扩张的 Kurosh 子群定理。
引用
@article{arxiv.1309.3806,
title = {Rank gradient and p-gradient of amalgamated free products and HNN extensions},
author = {Nathaniel Pappas},
journal= {arXiv preprint arXiv:1309.3806},
year = {2014}
}
备注
Cost of restricted action result has been strengthened. Proofs of main results have been shortened and altered. Article length has been shortened