تقرير
Full-featured peak reduction in right-angled Artin groups
| العنوان: | Full-featured peak reduction in right-angled Artin groups |
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| المؤلفون: | Day, Matthew B. |
| المصدر: | Algebr. Geom. Topol. 14 (2014) 1677-1743 |
| سنة النشر: | 2012 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Group Theory, 20F36, 20F28 |
| الوصف: | We prove a new version of the classical peak-reduction theorem for automorphisms of free groups in the setting of right-angled Artin groups. We use this peak-reduction theorem to prove two important corollaries about the action of the automorphism group of a right-angled Artin group $A_\Gamma$ on the set of $k$-tuples of conjugacy classes from $A_\Gamma$: orbit membership is decidable, and stabilizers are finitely presentable. Further, we explain procedures for checking orbit membership and building presentations of stabilizers. This improves on a previous result of the author's. We overcome a technical difficulty from the previous work by considering infinite generating sets for the automorphism groups. The method also involves a variation on the Hermite normal form for matrices. Comment: 72 pages, 1 figure. Updated to incorporate referee comments |
| نوع الوثيقة: | Working Paper |
| DOI: | 10.2140/agt.2014.14.1677 |
| URL الوصول: | http://arxiv.org/abs/1211.0078 |
| رقم الأكسشن: | edsarx.1211.0078 |
| قاعدة البيانات: | arXiv |
| DOI: | 10.2140/agt.2014.14.1677 |
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