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We compute the character degrees of the group $C \\rtimes {\\rm Gal} (E/F)$ by using the Galois connection between the subfields of $E$ and the Galois group ${\\rm Gal} (E/F)$."},"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":"1403.7977","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2014-03-31T12:59:02Z","cross_cats_sorted":[],"title_canon_sha256":"30fc5c6ae985f67821243dedd2d484d8f3e16797630bde32f64f7748b7e97a8a","abstract_canon_sha256":"0f270d4cfd463d576f8922985dca021bf301afe571a60d1fb6c53d31c0202a54"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:55:12.040508Z","signature_b64":"9bovFuILOIIvv6D9PGfcjbSXZbVlvpWzuugsalCnqEgR2OkZPqNJYgUDPXi4vsjWpwPdmWI8IqQWDnDIbTBTCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"69eeeaaeaa4c9109f082579f7dba886f0374f107399cee0be6cc4234f262baff","last_reissued_at":"2026-05-18T02:55:12.040092Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:55:12.040092Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Using a Galois connection to compute character degrees","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.GR","authors_text":"John K. 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