Closed subgroups of \(\Zp\): local context

Project map · Chapter map · Full theorem DAG · Open textbook statement

This local map shows one dependency hop in either direction. The highlighted item is the current focus. What the colours mean

fully proved2Proved, and every prerequisite is fully proved too.planned3Described in the blueprint only.

graph LR n0("Closed subgroups of $\Zp$"):::fully_proved n1("Rational orbit pullback"):::planned n2("Finite quotient sheets"):::fully_proved n3("Invariant chart subset"):::planned n4("$p$-adic exclusion"):::planned n0 -.-> n3 n0 -.-> n2 n0 -.-> n1 n0 -.-> n4 n3 -.-> n4 class n0 focus click n0 "../../../roadmap/background/index.html#padic-subgroups" "Closed subgroups of $\Zp$ — 1 item · 1 fully proved" click n1 "../../../roadmap/local-tests/index.html#orbit-injectivity" "Rational orbit pullback — 1 item · 1 planned" click n2 "../../../roadmap/local-tests/index.html#finite-sheets" "Finite quotient sheets — 1 item · 1 fully proved" click n3 "../../../roadmap/local-tests/index.html#chart-reduction" "Invariant chart subset — 1 item · 1 planned" click n4 "../../../roadmap/main-theorem/index.html#padic-exclusion" "$p$-adic exclusion — 1 item · 1 planned"