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.Let Δ(G)={|HG||H 5 G}.G is called aΔk-group if |Δ(G)|=k.AΔ_(k-p)-group means G is ...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.Let Δ(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 a Δk-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.Let Δ(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 a Δk-group.In this paper,Δ_(2-p)-groups G with d(G)=2 are classified by central extension,where p is an odd prime.
基金supported by NSFC(No.11271301,No.11471055,No.11661031)Scientific Research Foundation of Sichuan Provincial Education Department(No.14ZA0314,No.15ZA0181)the Scientific Research Foundation of CUIT(No.J201418)
