تقرير
Acylindrical hyperbolicity, non simplicity and SQ-universality of groups splitting over Z
| العنوان: | Acylindrical hyperbolicity, non simplicity and SQ-universality of groups splitting over Z |
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| المؤلفون: | Button, J. O. |
| سنة النشر: | 2016 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Group Theory |
| الوصف: | We show, using acylindrical hyperbolicity, that a finitely generated group splitting over $\Z$ cannot be simple. We also obtain SQ-universality in most cases, for instance a balanced group (one where if two powers of an infinite order element are conjugate then they are equal or inverse) which is finitely generated and splits over $\Z$ must either be SQ-universal or it is one of exactly seven virtually abelian exceptions. Comment: Much shorter version of 1509.05688 with strengthening of main result |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/1603.05909 |
| رقم الأكسشن: | edsarx.1603.05909 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |