Let G be a finite group,H be a nonnormal subgroup of G.The subgroup H^(G)=<H^(g)|g∈G>is called the normal closure of H in G.LetΔ(G)={|HG||H 5 G}.G is called aΔk-group if|Δ(G)|=k.AΔ_(k-p)-group means G is bo...Let G be a finite group,H be a nonnormal subgroup of G.The subgroup H^(G)=<H^(g)|g∈G>is called the normal closure of H in G.LetΔ(G)={|HG||H 5 G}.G is called aΔk-group if|Δ(G)|=k.AΔ_(k-p)-group means G is both a finite p-group and aΔk-group.In this paper,Δ_(2-p)-groups G with d(G)=2 are classified by central extension,where p is an odd prime.展开更多
文摘Let G be a finite group,H be a nonnormal subgroup of G.The subgroup H^(G)=<H^(g)|g∈G>is called the normal closure of H in G.LetΔ(G)={|HG||H 5 G}.G is called aΔk-group if|Δ(G)|=k.AΔ_(k-p)-group means G is both a finite p-group and aΔk-group.In this paper,Δ_(2-p)-groups G with d(G)=2 are classified by central extension,where p is an odd prime.
