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Full-Text Articles in Algebra
Normal Subgroups Of Wreath Product 3-Groups, Ryan Gopp
Normal Subgroups Of Wreath Product 3-Groups, Ryan Gopp
Williams Honors College, Honors Research Projects
Consider the regular wreath product group P of Z9 with (Z3 x Z3). The problem of determining all normal subgroups of P that are contained in its base subgroup is equivalent to determining the subgroups of a certain matrix group M that are invariant under two particular endomorphisms of M. This thesis is a partial solution to the latter. We use concepts from linear algebra and group theory to find and count so-called doubly-invariant subgroups of M.