On m-Normal Subgroups in Finite Groups
Song Ying
Abstract
Song Ying
Abstract
with the concept of m-normal subgroups,this paper gives some result about m-subgroups :1.When all sylow subgroups about G is m-normal subgroups,and there is a sylow subgroups which is normal subgroup, finite group G is a solvable group .2. When all sylow subgroups about G is m-normal subgroups, there is not any sylow subgroups which is normal subgroup, G is not a solvable group.
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with the concept of m-normal subgroups,this paper gives some result about m-subgroups :1.When all sylow subgroups about G is m-normal subgroups,and there is a sylow subgroups which is normal subgroup, finite group G is a solvable group .2. When all sylow subgroups about G is m-normal subgroups, there is not any sylow subgroups which is normal subgroup, G is not a solvable group.
Key concepts: Sylow theorems, Normal subgroup, Mathematics, Locally finite group, Finite group, Complement (music), Combinatorics, Index of a subgroup