Timeline for The rank of indecomposable finite abelian 2-group
Current License: CC BY-SA 4.0
10 events
| when toggle format | what | by | license | comment | |
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| Aug 27 at 15:22 | answer | added | Yassine Guerboussa | timeline score: 1 | |
| Jan 17, 2022 at 18:53 | history | edited | user44312 | CC BY-SA 4.0 |
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| Jan 17, 2022 at 18:52 | comment | added | user44312 | Yes, you are right. I will edit my question by adding an assumption that $A$ is cyclic. Thanks very much. @DerekHolt | |
| Jan 17, 2022 at 17:45 | comment | added | Derek Holt | In the case when $G$ is elementary abelian, there is a result that says that the $2$-group $A$ has finite representation type (i.e. it has finitely many indecomposable modules over ${\mathbb F}_2$). if and only if $A$ is cyclic. So, I think the answer to your question in that case is that ${\rm rank}(G)$ is bounded if and only if $A$ is cyclic. | |
| Jan 16, 2022 at 15:55 | history | edited | user44312 | CC BY-SA 4.0 |
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| Jan 16, 2022 at 15:54 | comment | added | user44312 | Sorry. Yes, I assume that $G$ is abelian. | |
| Jan 16, 2022 at 13:57 | comment | added | Derek Holt | Are you assuming that $G$ is abelian? | |
| Jan 16, 2022 at 11:40 | history | edited | YCor | CC BY-SA 4.0 |
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| Jan 16, 2022 at 9:48 | history | edited | user44312 | CC BY-SA 4.0 |
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| Jan 15, 2022 at 21:40 | history | asked | user44312 | CC BY-SA 4.0 |