C-Supplementedsubgroups of finite groups
Glasgow mathematical journal, Tome 42 (2000) no. 3, pp. 383-389

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A subgroup H of agroup G is said to be c-supplemented inG if there exists a subgroup K of G such thatHK=G and H \cap K is contained in Core_G (H).We follow Hall's ideas to characterize the structure of the finite groups in which every subgroup isc-supplemented. Properties of c-supplemented subgroups are also applied to determinethe structure of some finite groups.
Ballester-Bolinches, A.; Wang, Yanming; Xiuyun, Guo. C-Supplementedsubgroups of finite groups. Glasgow mathematical journal, Tome 42 (2000) no. 3, pp. 383-389. doi: 10.1017/S001708950003007X
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