David E. Dobbs produced a recursive construction for large sets of non-overlapping Klein 4-subgroups inside ℤ 2 n . We show that the construction can be used to build the maximum such sets.

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Tamkang Journal of Mathematics
School of Mathematics and Statistics

Stevens, B. (2010). Recursive construction of maximum number of non-overlapping klein 4-groups inside an elementary abelian 2-group. Tamkang Journal of Mathematics, 41(4), 349–351.