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In this paper, we show that $CAG_n$ ($n\\geq 4$) is not a normal Cayley graph. Furthermore, the automorphism group of $CAG_n$ for $n\\geq 5$ is obtained, which equals to $\\mathrm{Aut}(CAG_n)=(R(A_n)\\rtimes \\mathrm{Inn}(S_n))\\rtimes \\mathbb{Z}_2\\cong (A_n\\rtimes S_n)\\rtimes \\mathbb{Z}_2$, where"},"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":"1605.06664","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2016-05-21T16:03:50Z","cross_cats_sorted":[],"title_canon_sha256":"7ecdee61a1bad6bd9e8ce23128822953f617fdde632e4ed1a3282fbaf151b823","abstract_canon_sha256":"9f22903cc25c1c1b11aeded240101aedd2676e762a3ffb70f97761f49710bcf6"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:36:41.340363Z","signature_b64":"Lc+IquSjQSrJCeaeBomg+s8TigC4000i8qBZXEpwDBDQsEG44gEeWP+rEdRz+wlXpTvd/fhWFPbiyLW/5fIDAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"aa6fb9c14de59d76f4179039bec6d256d0df08451b29cd6c30069eaa26ac739e","last_reissued_at":"2026-05-18T00:36:41.339751Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:36:41.339751Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Automorphism group of the complete alternating group graph","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CO","authors_text":"Qiongxiang Huang, Xueyi Huang","submitted_at":"2016-05-21T16:03:50Z","abstract_excerpt":"Let $S_n$ and $A_n$ denote the symmetric group and alternating group of degree $n$ with $n\\geq 3$, respectively. 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Furthermore, the automorphism group of $CAG_n$ for $n\\geq 5$ is obtained, which equals to $\\mathrm{Aut}(CAG_n)=(R(A_n)\\rtimes \\mathrm{Inn}(S_n))\\rtimes \\mathbb{Z}_2\\cong (A_n\\rtimes S_n)\\rtimes \\mathbb{Z}_2$, where"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1605.06664","kind":"arxiv","version":3},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"1605.06664","created_at":"2026-05-18T00:36:41.339839+00:00"},{"alias_kind":"arxiv_version","alias_value":"1605.06664v3","created_at":"2026-05-18T00:36:41.339839+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1605.06664","created_at":"2026-05-18T00:36:41.339839+00:00"},{"alias_kind":"pith_short_12","alias_value":"VJX3TQKN4WOX","created_at":"2026-05-18T12:30:48.956258+00:00"},{"alias_kind":"pith_short_16","alias_value":"VJX3TQKN4WOXN5AX","created_at":"2026-05-18T12:30:48.956258+00:00"},{"alias_kind":"pith_short_8","alias_value":"VJX3TQKN","created_at":"2026-05-18T12:30:48.956258+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/VJX3TQKN4WOXN5AXSA435RWSK3","json":"https://pith.science/pith/VJX3TQKN4WOXN5AXSA435RWSK3.json","graph_json":"https://pith.science/api/pith-number/VJX3TQKN4WOXN5AXSA435RWSK3/graph.json","events_json":"https://pith.science/api/pith-number/VJX3TQKN4WOXN5AXSA435RWSK3/events.json","paper":"https://pith.science/paper/VJX3TQKN"},"agent_actions":{"view_html":"https://pith.science/pith/VJX3TQKN4WOXN5AXSA435RWSK3","download_json":"https://pith.science/pith/VJX3TQKN4WOXN5AXSA435RWSK3.json","view_paper":"https://pith.science/paper/VJX3TQKN","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1605.06664&json=true","fetch_graph":"https://pith.science/api/pith-number/VJX3TQKN4WOXN5AXSA435RWSK3/graph.json","fetch_events":"https://pith.science/api/pith-number/VJX3TQKN4WOXN5AXSA435RWSK3/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/VJX3TQKN4WOXN5AXSA435RWSK3/action/timestamp_anchor","attest_storage":"https://pith.science/pith/VJX3TQKN4WOXN5AXSA435RWSK3/action/storage_attestation","attest_author":"https://pith.science/pith/VJX3TQKN4WOXN5AXSA435RWSK3/action/author_attestation","sign_citation":"https://pith.science/pith/VJX3TQKN4WOXN5AXSA435RWSK3/action/citation_signature","submit_replication":"https://pith.science/pith/VJX3TQKN4WOXN5AXSA435RWSK3/action/replication_record"}},"created_at":"2026-05-18T00:36:41.339839+00:00","updated_at":"2026-05-18T00:36:41.339839+00:00"}