Finite groups that are products of two normal supersoluble subgroups


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Abstract

Let P1 be the class of all finite groups that are products of two normal supersoluble subgroups. Let P be the class of all nonsupersoluble P1-groups G such that all proper P1-subgroups of G and nontrivial factor groups of G are supersoluble. We classify the P-groups.

About the authors

X. Tang

School of Mathematical Sciences

Author for correspondence.
Email: tangxz@mail.ustc.edu.cn
China, Hefei

Yu Ye

School of Mathematical Sciences

Email: tangxz@mail.ustc.edu.cn
China, Hefei

W. Guo

School of Mathematical Sciences

Email: tangxz@mail.ustc.edu.cn
China, Hefei


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