Timeline for Centralizers of abelian normal subgroups of p-groups
Current License: CC BY-SA 3.0
3 events
when toggle format | what | by | license | comment | |
---|---|---|---|---|---|
Mar 2, 2013 at 12:50 | vote | accept | Yassine Guerboussa | ||
Mar 2, 2013 at 12:39 | comment | added | Yassine Guerboussa | I am grateful, Prof. Derek Holt, excuse me to add ( of course in the light of your example): we can replace <x,y> in your example by any elemantary abelian p-group E, we choose an arbitrary non-trivial action of v on E, and we extend it to E+<w> by setting [v,w]=w^p and [v,w^p]=1. So we can obtain counter examples of arbitrary large order. | |
Mar 2, 2013 at 10:48 | history | answered | Derek Holt | CC BY-SA 3.0 |