Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4586657 | Journal of Algebra | 2010 | 8 Pages |
Abstract
Let N be a normal subgroup of the group G. By a result of P. Hall, G is nilpotent if N and G/N′ are nilpotent. We are looking for group classes C and characteristic subgroups f(N) of N such that the statement above, with (belongs to C, f(N)) substituted for (is nilpotent, N′), remains true.
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Physical Sciences and Engineering
Mathematics
Algebra and Number Theory