Let G be a finite group. If |N<sub>G</sub>（R<sub>1</sub>）|=|N<sub>L<sub>n</sub></sub>（q）（R<sub>2</sub>）| for every prime r, where R<sub>1</sub...Let G be a finite group. If |N<sub>G</sub>（R<sub>1</sub>）|=|N<sub>L<sub>n</sub></sub>（q）（R<sub>2</sub>）| for every prime r, where R<sub>1</sub>∈Syl<sub>r</sub> G and R<sub>2</sub>∈Syl<sub>r</sub>（L<sub>n</sub>（q））, then G≌L<sub>n</sub>（q）.展开更多
文摘Let G be a finite group. If |N<sub>G</sub>（R<sub>1</sub>）|=|N<sub>L<sub>n</sub></sub>（q）（R<sub>2</sub>）| for every prime r, where R<sub>1</sub>∈Syl<sub>r</sub> G and R<sub>2</sub>∈Syl<sub>r</sub>（L<sub>n</sub>（q））, then G≌L<sub>n</sub>（q）.
