Timeline for Non-elementary examples of nearly normal subgroups
Current License: CC BY-SA 3.0
4 events
| when toggle format | what | by | license | comment | |
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| May 22, 2012 at 17:50 | comment | added | Misha | @Vahid: SL(2, Q) is simple modulo its center, so SL(2,Z) is not nearly normal in GL(2,Q). If you want concrete examples, take any finite index non-normal subgroup H<G_1. Then H is nearly normal in G=G_1\times G_1. For instance, take G_1=SL(2,Z) and H<G_1 be the subgroup of matrices which reduce to upper-triangular modulo some prime p. | |
| May 22, 2012 at 17:27 | comment | added | user23860 | @ Will: Thank you for your answer. It is stimulating. But I am looking for very concrete examples. For instance, is $SL(2,\mathbb{Z})$ nearly normal in $GL(2,\mathbb{Q})$? | |
| May 22, 2012 at 17:23 | vote | accept | CommunityBot | ||
| May 22, 2012 at 17:02 | history | answered | Will Sawin | CC BY-SA 3.0 |