Three amalgams with remarkable normal subgroup structures

Diego Rattaggi

Three amalgams with remarkable normal subgroup structures

群论 2007-05-23 v1

作者: Diego Rattaggi

摘要

We construct three groups $\Lambda_1$ , $\Lambda_2$ , $\Lambda_3$ , which can all be decomposed as amalgamated products $F_9 \ast_{F_{81}} F_{9}$ and have very few normal subgroups of finite or infinite index. Concretely, $\Lambda_1$ is a simple group, $\Lambda_2$ is not simple but has no non-trivial normal subgroup of infinite index, and $\Lambda_3$ is not simple but has no proper subgroup of finite index.

关键词

group theory wreath product of groups finite group theory

引用

@article{arxiv.math/0506306,
  title  = {Three amalgams with remarkable normal subgroup structures},
  author = {Diego Rattaggi},
  journal= {arXiv preprint arXiv:math/0506306},
  year   = {2007}
}

备注

6 pages

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