Abstract
Let U ( G ) U(G) be the group of normalized units of the group algebra F [ G ] F[G] of a finite nonabelian p p -group G G over the field F = G F ( p ) F = {\operatorname {GF(}}p{\text {)}} . The description is given of all p p -groups, p > 2 p > 2 , for which U ( G ) U(G) does not contain subgroups isomorphic to the wreath product Z p ≀ Z p {Z_p}\wr {Z_p} .
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