ON SUBGROUPS LATTICE OF SOME ð’œ2-GROUPS

Olayiwola Abdulhakeem, Abiola Deborah Akinyemi

Abstract


A p-group G is said to be an ð’œn-group if it contains a non-Abelian subgroup of index  but all its subgroups of index  are Abelian. Every non-Abelian group of order p4 is either an ð’œ1-group or ð’œ2-group. For p = 2, there are 14 groups of order 16, 5 are Abelian, 3 are A1-group and 6 are A2-group. The purpose of this study is to give all subgroups of A2-group of order 16 and present subgroup lattice diagrams.


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References


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