Talk:Fischer group Fi24

Latest comment: 9 years ago by GodMadeTheIntegers in topic 29:14

29:14

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* 29:14 <!-- what is this? -->[1]

I guess you're asking what the notation is? Yeah... nice that we're listing maximal subgroups, but we could use some sort of decryption article, eh?

eg. GAP uses this notation, it's ":" for  , a semidirect product ("×" for direct product and "." for other group extension). And we've abbreviated the cyclic group with n elements as n. So a (slightly) less cryptic notation would be

 

We also use the convention that we don't write something as a semidirect product if we could have written it as a direct product, so this is actually completely unambiguous, C_14 would be acting as the unique index 2 subgroup of Aut(C_29) = C_28, otherwise we should have written it (29:7)×2 or (29:2)×7 or 29×14.

That's only unambiguous in this case. This is rare, normally, the notation doesn't uniquely identify the group. --GodMadeTheIntegers (talk) 15:03, 1 May 2015 (UTC)Reply