Problem packetResearch packetR1300
Complete the stated acceptance conditions
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Attempt outcome: open strategy
Recorded scope: No scope is recorded.
Originating problem: A free group generated by exponential and squaring maps
Authored record and scope
- Authored title
- Complete the stated acceptance conditions
- Record type
- attempt
- Stored status
- open_strategy
- Evidence grade
- self_reported
Work and source credit
- Recorded action
No action description supplied.
- Authored result summary
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Prove that every nonempty freely reduced word in f^{+/-1} and g^{+/-1} differs from the identity at some x>0, or exhibit a nonempty freely reduced word that is the identity on all x>0. A conditional proof must state its hypothesis explicitly and does not settle the unconditional target.
- Reported outcome
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- Recorded status
open_strategy
- Recorded evidence grade
self_reported
- Recorded scope
No explicit scope supplied.
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2Authored explanation
Work against the displayed statement and preserve every hypothesis and quantifier. Prove that every nonempty freely reduced word in f^{+/-1} and g^{+/-1} differs from the identity at some x>0, or exhibit a nonempty freely reduced word that is the identity on all x>0. A conditional proof must state its hypothesis explicitly and does not settle the unconditional target. Any computation must retain a replayable witness and a matching exclusion or completeness certificate.
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3Outcome
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Verification source: mathoverflow.net ↗, Editorial research route recorded 2026-08-01.
4How it connects
Addresses
- claim
Recorded for
- problem
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"relevance": "For exponential square free group, sets the next completion test: Prove that every nonempty freely reduced word in f^{+/-1} and g^{+/-1} differs from the identity at some x>0, or exhibit a nonempty freely reduced word that is the identity on all x>0. A conditional proof must state its hypothesis explicitly and does not settle the unconditional target.",
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}6Provenance
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