Abstract
We study groups G that satisfy the following conditions: (i) G is a finite solvable group with nonprimary metacyclic second subgroup and (ii) all Sylow subgroups of the group G are elementary Abelian subgroups. We describe the structure of groups of this type with complementable nonmetacyclic subgroups.
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Baryshovets, P.P. On Complementability of Nonmetacyclic Subgroups in Finite A-Groups. Ukrainian Mathematical Journal 53, 1949–1955 (2001). https://doi.org/10.1023/A:1015482705075
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DOI: https://doi.org/10.1023/A:1015482705075