Report
Generalized torsion elements in infinite groups
| العنوان: | Generalized torsion elements in infinite groups |
|---|---|
| المؤلفون: | Bastos, Raimundo, Mendonça, Luis |
| سنة النشر: | 2024 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Group Theory |
| الوصف: | A group element is called generalized torsion if a finite product of its conjugates is equal to the identity. We show that in a finitely generated abelian-by-finite group, an element is generalized torsion if and only if its image in the abelianization is torsion. We also prove a quantitative version with sharp bounds to the generalized exponent of these groups. In particular, we provide many examples of finitely presentable torsion-free groups in which all elements are generalized torsion. We also discuss positive generalized identities in abelian-by-finite groups and related classes. |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2411.17918 |
| رقم الانضمام: | edsarx.2411.17918 |
| قاعدة البيانات: | arXiv |
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1 |
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edsarx arXiv edsarx.2411.17918 1128 3 Report report 1128.03332519531 |
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https://search.ebscohost.com/login.aspx?direct=true&site=eds-live&scope=site&db=edsarx&AN=edsarx.2411.17918&custid=s6537998&authtype=sso |
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