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Dear Gap forum,

let p be a fixed prime, let G be a finite p-group (but the following makes sense for every gruop), and let \mho_i(G) and \mho_{(i)}(G) the subgroups of G defined by \mho_i(G) := the subgroup generated by the p^i-powers of the elements of G, \mho_{(0)}(G) := G, \mho_{(i+1)}(G) := \mho_1(\mho_{(i)}(G)).

Is there a simple method in gap to calculate

the subgroups \mho_i(G) and \mho_{(i)}(G)?

greetings

Marco Costantini

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