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Fuglede's Conjecture on Square-Free Cyclic Groups With Rapidly Growing Primes

A partial result. Fuglede's conjecture remains open for finite cyclic groups generally; this settles an infinite family and, for the spectral-to-tiling direction, only under rapid growth of the prime factors.

Exact FrontierDelta

Prior state unknown→proved

Scope and record

Occurred: Jul 29, 2026

Delta type: SOURCE CLAIM

Assumptions: VibeMathed verification: unreviewed. Publication: preprint. AI contribution: ai-assisted. Imported under CC BY 4.0.

Canonical aliases: Fuglede's Conjecture on Square-Free Cyclic Groups With Rapidly Growing Primes · Fuglede, square-free cyclic

Confidence: Not scored

Registry verification: unreviewed · preprint · partial

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VibeMathed
registry · event recorded by

Gábor Somlai
human · human collaborator

ChatGPT + Gemini
model · ai model contributor

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This event attributed to Gábor Somlai

This event attributed to ChatGPT + Gemini

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