#31683 closed enhancement (fixed)

Simplify FiniteWord_class.primitive_length

Reported by: gh-mrejmon Owned by:
Priority: minor Milestone: sage-9.4
Component: combinatorics Keywords: words
Cc: Merged in:
Authors: Martin Rejmon Reviewers: Travis Scrimshaw
Report Upstream: N/A Work issues:
Branch: 318068d (Commits, GitHub, GitLab) Commit: 318068df239cabfd45c6a0c13aeb16b8e0c02518
Dependencies: Stopgaps:

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I pushed a small branch which slightly simplifies the method primitive_length of FiniteWord_class.

Explanation: We have that a word is primitive if and only if its period is not a proper divisor of its length (see for example Problem 1.2.1 in [Lothaire2002]). Clearly, if its period is a divisor of its length, then the length of the primitive root is equal to the period.

Change History (4)

comment:1 Changed 15 months ago by gh-mrejmon

  • Status changed from new to needs_review

comment:2 Changed 15 months ago by tscrim

  • Reviewers set to Travis Scrimshaw
  • Status changed from needs_review to positive_review


comment:3 Changed 15 months ago by tscrim

  • Type changed from task to enhancement

comment:4 Changed 12 months ago by vbraun

  • Branch changed from u/gh-mrejmon/simplify_primitive to 318068df239cabfd45c6a0c13aeb16b8e0c02518
  • Resolution set to fixed
  • Status changed from positive_review to closed
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