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Normal coverings of finite symmetric and alternating groups
Normal coverings alternating groups
2010/11/23
In this paper we investigate the minimum number of maximal subgroups H_i for i=1 ...k of the symmetric group S_n (or the alternating group A_n) such that each element in the group S_n (respectively A...
Coverings of the Symmetric and Alternating Groups
Coverings of the Symmetric Alternating Groups
2010/12/9
We analyse for which n there exist in G = An, Sn two proper subgroups H,K such that G is the union of the G-conjugacy classes of H and K.