تقرير
Calculating the virtual cohomological dimension of the automorphism group of a RAAG
| العنوان: | Calculating the virtual cohomological dimension of the automorphism group of a RAAG |
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| المؤلفون: | Day, Matthew B., Sale, Andrew W., Wade, Richard D. |
| سنة النشر: | 2019 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Group Theory, 20F65 |
| الوصف: | We describe an algorithm to find the virtual cohomological dimension of the automorphism group of a right-angled Artin group. The algorithm works in the relative setting; in particular it also applies to untwisted automorphism groups and basis-conjugating automorphism groups. The main new tool is the construction of free abelian subgroups of certain Fouxe-Rabinovitch groups of rank equal to their virtual cohomological dimension, generalizing a result of Meucci in the setting of free groups. Comment: 15 pages, 2 figures. Revised background on RORGs, small changes elsewhere. Accepted to appear in Bulletin of the LMS |
| نوع الوثيقة: | Working Paper |
| DOI: | 10.1112/blms.12418 |
| URL الوصول: | http://arxiv.org/abs/1909.03086 |
| رقم الأكسشن: | edsarx.1909.03086 |
| قاعدة البيانات: | arXiv |
| DOI: | 10.1112/blms.12418 |
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