تقرير
On groups well represented as automorphism groups of groups
العنوان: | On groups well represented as automorphism groups of groups |
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المؤلفون: | Asgharzadeh, Mohsen, Golshani, Mohammad, Herden, Daniel, Shelah, Saharon |
سنة النشر: | 2024 |
المجموعة: | Mathematics |
مصطلحات موضوعية: | Mathematics - Group Theory, Mathematics - Logic |
الوصف: | Assuming G\"{o}del's axiom of constructibility $\bold V=\bold L,$ we present a characterization of those groups $L$ for which there exist arbitrarily large groups $H$ such that $aut(H) \cong L$. In particular, we show that it suffices to have one such group $H$ such that the size of its center is bigger than $ 2^{|L |+\aleph_0}$. |
نوع الوثيقة: | Working Paper |
URL الوصول: | http://arxiv.org/abs/2407.09279 |
رقم الأكسشن: | edsarx.2407.09279 |
قاعدة البيانات: | arXiv |
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