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Then $<C_f, C_g>=\\mathrm{GL}_n(q)$."},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1502.03341","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2015-02-11T15:43:17Z","cross_cats_sorted":[],"title_canon_sha256":"9647e3b28db787c9fa1e30c80e65fbeb7e9a7e5d75520d2d82a1c7316bbf67bf","abstract_canon_sha256":"e8eff7717c4856f0570711380b1bff04b5516a62cc49a71d7cbc2959ce170a29"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:29:46.492253Z","signature_b64":"vzT/N1Z1cH1rzQsDRhX/ralhEwgCxkAQ7zfqeQKfpFCP6xezYYwmvjwBsTES26SEXA0vX6h0OVQhC07Qx/N1Aw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d5ada4b5d0939471dd07d139b34bd2aa7b3b88b00ee4cfaaf1fcba329d19ecd0","last_reissued_at":"2026-05-18T01:29:46.491574Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:29:46.491574Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On a conjecture of Degos","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.GR","authors_text":"Nick Gill","submitted_at":"2015-02-11T15:43:17Z","abstract_excerpt":"In this note we use a result of Kantor to prove a conjecture of Degos. Specifically we prove the following: let $\\mathbb{F}$ be a finite field of order $q$ and let $f, g\\in\\mathbb{F}[X]$ be distinct polynomials of degree $n$ such that $f$ is primitive, and the constant term of $g$ is non-zero. 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