I am wondering what is the exact definition of "mod $p$ lower central series"?
Is it the same thing as the "lower p-central series" as presented here: https://core.ac.uk/download/pdf/81193793.pdf?
Thanks a lot.
2026-04-03 21:26:50.1775251610
What is the definition of "mod p lower central series"
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It is not the same, in that article they use what is called the Zassenhauss filtration. The definition of the lower p-central series (also known as Stallings filtration ) of a group G is given recursively by the rule: $G_1=G, \; G_{i+1}= [G,G_i](G_i)^p.$