DEF0105canonicalv1Galois Group of Primorial Stage
The Galois group at stage k is (Z/M_k Z)×, the group of units. Its order is φ(M_k) = ∏(p_i - 1) for primes p_i ≤ p_k. Verified: φ(2)=1, φ(6)=2, φ(30)=8.
Payload
Galois Group of Primorial Stage
The Galois group at stage k is (Z/M_k Z)×, the group of units. Its order is φ(M_k) = ∏(p_i - 1) for primes p_i ≤ p_k. Verified: φ(2)=1, φ(6)=2, φ(30)=8.
Galois Group of Primorial Stage
Summary
The Galois group at stage k is (Z/M_k Z)×, the group of units. Its order is φ(M_k) = ∏(p_i - 1) for primes p_i ≤ p_k. Verified: φ(2)=1, φ(6)=2, φ(30)=8.
Statement
No manuscript statement was extracted in this pilot run.
Proof / Justification
This item is definitional. No manuscript proof is required.
Source Context
- Registry source:
book-01.jsonlline 224 - Manuscript source: not matched
Lean / Formalization Notes
- Formalization:
formalized - Module:
TauLib.BookI.Boundary.Galois - Name:
galois_group_order
Dependencies
- Canonical: I.D97, I.D76
Related Results
Generated by later projection phases.
Related Publications
Generated by later projection phases.
Revision Notes
- 2026-04-24: Initial pilot migration.
Identifiers
Aliases & legacy IDs
I.D98galois-group-of-primorial-stagedef:galois-group-primorialRelease lines
corpus_v3_workingcorpus_v2Relations
Formalized by (2)
Appears in (1)
Downstream uses (computed) (4)
Items in the corpus that reference this one via load-bearing relations. Computed from the full corpus-v3 graph at build time.
Sources
Version & History
Status disclaimer
A Corpus Item page reports the program's current internal record for this item. It does not imply external verification, scientific consensus, or final proof unless explicitly stated. Read it together with its dependencies, formalization status, and the program's overall stance.