Many non-embeddable infinite groups
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866908751461613568 |
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| author | Kuba, Gerald |
| author_facet | Kuba, Gerald |
| contents | Let K be a set of infinite cardinals such that the cardinality of K is the first strong limit cardinal greater than uncountably many strong limit cardinals. We construct a family of pairwise non-embeddable groups which contains 2^k groups of order k for every cardinal number k in K. (In particular, in this family small groups are never embeddable in large groups.) |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_17962 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Many non-embeddable infinite groups Kuba, Gerald Group Theory 20E06 Let K be a set of infinite cardinals such that the cardinality of K is the first strong limit cardinal greater than uncountably many strong limit cardinals. We construct a family of pairwise non-embeddable groups which contains 2^k groups of order k for every cardinal number k in K. (In particular, in this family small groups are never embeddable in large groups.) |
| title | Many non-embeddable infinite groups |
| topic | Group Theory 20E06 |
| url | https://arxiv.org/abs/2401.17962 |