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Finite p-groups all of whose proper subgroups have small derived subgroups |
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| Authors: | ZHANG JunQiang & LI XianHua School of Mathematical Sciences Soochow University Suzhou China |
| Affiliation: | ZHANG JunQiang & LI XianHua School of Mathematical Sciences,Soochow University,Suzhou 215006,China |
| Abstract: | Let G be a finite p-group.If the order of the derived subgroup of each proper subgroup of G divides pi,G is called a Di-group.In this paper,we give a characterization of all D1-groups.This is an answer to a question introduced by Berkovich. |
| Keywords: | finite p-group derived subgroup minimal non-abelian p-group D1-group |
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