On groups well represented as automorphism groups of groups
Fuente:
arXiv
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| Auteurs principaux: | , , , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866911953618731008 |
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| author | Asgharzadeh, Mohsen Golshani, Mohammad Herden, Daniel Shelah, Saharon |
| author_facet | Asgharzadeh, Mohsen Golshani, Mohammad Herden, Daniel Shelah, Saharon |
| contents | Assuming Gödel'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}$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_09279 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On groups well represented as automorphism groups of groups Asgharzadeh, Mohsen Golshani, Mohammad Herden, Daniel Shelah, Saharon Group Theory Logic Assuming Gödel'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}$. |
| title | On groups well represented as automorphism groups of groups |
| topic | Group Theory Logic |
| url | https://arxiv.org/abs/2407.09279 |