\(p\)-adic exclusion: 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 proved1Proved, and every prerequisite is fully proved too.planned4Described in the blueprint only.

graph LR n0("Closed subgroups of $\Zp$"):::fully_proved n1("Contradiction on the invariant chart"):::planned n2("Invariant chart subset"):::planned n3("$p$-adic exclusion"):::planned n4("Hilbert--Smith conjecture"):::planned n0 -.-> n2 n0 -.-> n3 n1 -.-> n3 n2 -.-> n3 n3 -.-> n4 click n0 "../../../roadmap/background/index.html#padic-subgroups" "Closed subgroups of $\Zp$ — 1 item · 1 fully proved" click n1 "../../../roadmap/character-classes/index.html#contradiction" "Contradiction on the invariant chart — 1 item · 1 planned" click n2 "../../../roadmap/local-tests/index.html#chart-reduction" "Invariant chart subset — 1 item · 1 planned" class n3 focus click n3 "../../../roadmap/main-theorem/index.html#padic-exclusion" "$p$-adic exclusion — 1 item · 1 planned" click n4 "../../../roadmap/main-theorem/index.html#hilbert-smith-conjecture" "Hilbert--Smith conjecture — 1 item · 1 planned"