Timeline for Induction from cyclic / Sylow subgroup are there any nice properties ?
Current License: CC BY-SA 3.0
6 events
| when toggle format | what | by | license | comment | |
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| Aug 19, 2012 at 12:22 | comment | added | Alexander Chervov | PS in Q2 I mean I consider my example of GL(3,2)=PSL(2,7) | |
| Aug 19, 2012 at 12:22 | comment | added | Alexander Chervov | Q2: Take P=7-Sylow. V_3a, V_3b are exeptional ? And V_1, V_6,V_8 not ? Ind_{Sylow 7} = V_1 + V_7+ 2 V_8, corresponds to your answer like this: for V_1 we have 1=0*7+1 so k+$\epsilon$ = 1, so multiplicity is 1, and for V_6 we have +1-1=0 - so zero multiplicit, for V_8 we have +1+1 = 2 so multiplicity is 2. And about V_7 it is the first sentence 7/7=1. Is it correct ? | |
| Aug 19, 2012 at 12:17 | comment | added | Alexander Chervov | Q1: You denote by $C_G(P)$ the commutant of subgroup $P$ in group $G$ is it correct ? | |
| Aug 19, 2012 at 12:17 | comment | added | Alexander Chervov | Great answer ! Let me ask some questions to check my understanding... | |
| Aug 19, 2012 at 12:09 | vote | accept | Alexander Chervov | ||
| Aug 17, 2012 at 23:01 | history | answered | Marty Isaacs | CC BY-SA 3.0 |