|
| | | | |
| | | |
| Stat |
Members: 3645
Articles: 2'500'096
Articles rated: 2609
19 April 2024 |
|
| | | | |
|
Article overview
| |
|
|
Free subgroups of one-relator relative presentations | | Anton A. Klyachko
; | | Date: |
27 Oct 2005 | | Abstract: | Suppose that G is a nontrivial torsion-free group and w is a word over the alphabet Gcup{x_1^{pm1},...,x_n^{pm1}}. It is proved that for nge2 the group ~G= always contains a nonabelian free subgroup. For n=1 the question about the existence of nonabelian free subgroups in ~G is answered completely in the unimodular case (i.e., when the exponent sum of x_1 in w is one). Some generalisations of these results are discussed. | | Source: | arXiv, math.GR/0510582 | | Other source: | [GID 52137] math/0510582 | | Services: | Forum | Review | PDF | Favorites | |
|
|
No review found.
Did you like this article?
Note: answers to reviews or questions about the article must be posted in the forum section.
Authors are not allowed to review their own article. They can use the forum section.
browser Mozilla/5.0 AppleWebKit/537.36 (KHTML, like Gecko; compatible; ClaudeBot/1.0; +claudebot@anthropic.com)
|
| |
|
|
|
|
News, job offers and information for researchers and scientists:
| |
REGISTER