Talk:Socle (mathematics)
 | This set index article is rated List-class on Wikipedia's content assessment scale. It is of interest to the following WikiProjects: | ||||||||||
| |||||||||||
A discussion of socle series/socle layers would probably be desirable at some point. --172.188.53.88 15:24, 9 August 2007 (UTC)
"minimal non-trivial normal subgroups"
[edit]The definition of 'socle' depends on the phrase 'minimal non-trivial normal subgroups', which is not defined. The Abelian example given is some help, but does not explain enough. What is the minimal non-trivial normal subgroup of A4? Maproom (talk) 11:33, 5 March 2012 (UTC)
- The most reasonable interpretation of "minimal non-trivial normal subgroup of a group G" is a minimal element of the poset of normal subgroups, excluding 0 and G. A4 has exactly three normal subgroups, two of them being trivial. I'll see if I can make an adjustment to the text to address your comments above. Rschwieb (talk) 13:47, 5 March 2012 (UTC)