[GAP Forum] unexpected behavior of SchurCoverOfSymmetricGroup

Benjamin Sambale benjamin.sambale at gmail.com
Thu Sep 3 14:44:00 BST 2015


Dear all,

the command SchurCoverOfSymmetricGroup can be used to define the two 
double covers of a symmetric group. According to the manual:

"+1 gives a group where the preimage of an adjacent transposition 
(i,i+1) has order 4"

I thought that the convention is just the other way around: in the "+" 
type cover the transpositions lift to involutions.

Best wishes,
Benjamin



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