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Mathematical finite p-groups with at most equation subgroups not in Chermak-Delgado lattice

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Mathematical finite p-groups with at most   subgroups not in Chermak-Delgado lattice   What groups are       In order for a set or system of elements to be called a mathematical group it needs to satisfy the following properties: 1.Closure       If there is a group G and elements   then   .        Or                                                                                                                                          If there is a group G and elements   then  . 2.Associativity       If there is a group G and elements...