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On Groups with Uncountably Many Subgroups of Finite Index
| Content Provider | Semantic Scholar |
|---|---|
| Author | Silver, Daniel S. Williams, Susan G. |
| Copyright Year | 2004 |
| Abstract | Let K be the kernel of an epimorphism χ : G → Z, for G a finitely presented group. If K has uncountably many normal subgroups of finite index r, then K has uncountably many subgroups (not necessarily normal) of any finite index greater than r. In particular, this is the case whenever G is subgroup separable and K is nonfinitely generated. Assume that G has an abelian HNN base contained in K. If K has infinitely many subgroups of a given finite index, then it has uncountably many. |
| File Format | PDF HTM / HTML |
| Alternate Webpage(s) | http://www.southalabama.edu/mathstat/personal_pages/williams/subgroups.pdf |
| Language | English |
| Access Restriction | Open |
| Subject Keyword | Contain (action) Subgroup A Nepoviruses |
| Content Type | Text |
| Resource Type | Article |
