Source: wikibot/covering-groups-of-the-alternating-and-symmetric-groups

= Covering groups of the alternating and symmetric groups
{wiki=Covering_groups_of_the_alternating_and_symmetric_groups}

Covering groups of the alternating group \\( A_n \\) and the symmetric group \\( S_n \\) are associated with the study of these groups in the context of their representations and the understanding of their structure. \#\#\# Symmetric Groups The symmetric group \\( S_n \\) consists of all permutations of \\( n \\) elements and has a very rich structure. Its covering groups can often be related to central extensions of the group.