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| View Original: | Z2^4; subgroups list.svg (261x10008) | |||
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| Keywords: Z2^4; subgroups list.svg The 67 subgroups of http //groupprops subwiki org/wiki/Elementary_abelian_group E16 Z<sub>2</sub><sup>4</sup> compare Subgroups of nimber addition represented by logical matrices<br> <small>The red squares binary ones mark the position of the subgroups' elements in the Cayley table File Z2 4; Cayley table; binary svg </small> These matrices can also be read as partitions of a 16 element set <br> or as sec matrices of Boolean functions <small> compare File Boolean functions like 1001 0110 svg </small> <br> <small> Actually these matrices are the intersection of partition matrices and sec matrices </small> The increasing numbers on the left A190939 are the unique odd numbers in each sec <small> among the numeric values of the Boolean functions in the sec to be precise </small> <br> The numbers on the right A227963 are the smallest in the sec http //oeis org/A227963/a227963_1 txt Here the same is shown for n 0 2824 The file is shown below own mate2code page is about the file on the left In the file on the right the equivalence blocks are colored to make them easily recognizable </small><br><br> Gray numbers n<br> Increasing numbers on the left A190939 n <br> Smaller numbers on the right A227963 n margin 0 auto; 453px ; 300px Sec matrices of Boolean functions Equivalence relation matrix 4-ary Boolean functions Subgroups of nimber addition Colexicographic order | ||||
