Subgroup Series
نویسنده
چکیده
If N is a nontrivial proper normal subgroup of a finite group G then N and G/N are smaller than G. While it is false that G can be completely reconstructed from knowledge of N and G/N (see Example 1.1 below), it is nevertheless a standard technique in finite group theory to prove theorems about finite groups by induction on the size of the group and thereby use information about the smaller groups N and G/N to say something about G. Instead of using a single normal subgroup, we will consider a series of subgroups
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