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Discrete Math}, 25(1): 267-270, 2011], it is conjectured that if $n=2i$, then the automorphism group of the Johnson graph $J(n,i)$ is $S_n \\times \\langle T \\rangle$, where $T$ is the complementation map $A \\mapsto \\{1,\\ldots,n\\} \\setminus A$. We resolve this conjecture in the affirmative. The proof uses only elementary group theory and is b"},"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":"1412.5055","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2014-12-09T14:39:25Z","cross_cats_sorted":[],"title_canon_sha256":"78c5e15222136d234e54f07086e1e26cd9709e8cc2f27daf241b5442008796e0","abstract_canon_sha256":"5f9278753fd73f5bda5c7081dba464230e132891d247c65a32e12e8ec85d4a97"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:31:09.753019Z","signature_b64":"+P2KR4aZWKvmZirAoxFyFYOIe86mScDA/766RsYJrSAErHoWtZ21crIfYWoIfq4Ijpn8MiJOy5E0BZnvFT5CBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"aa5d71d057889968e9c3d742ba74817815fcd292824034048deaecb82a30d528","last_reissued_at":"2026-05-18T02:31:09.752342Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:31:09.752342Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On the automorphism group of a Johnson graph","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CO","authors_text":"Ashwin Ganesan","submitted_at":"2014-12-09T14:39:25Z","abstract_excerpt":"The Johnson graph $J(n,i)$ is defined to the graph whose vertex set is the set of all $i$-element subsets of $\\{1,\\ldots,n\\}$, and two vertices are joined whenever the cardinality of their intersection is equal to $i-1$. In Ramras and Donovan [\\emph{SIAM J. Discrete Math}, 25(1): 267-270, 2011], it is conjectured that if $n=2i$, then the automorphism group of the Johnson graph $J(n,i)$ is $S_n \\times \\langle T \\rangle$, where $T$ is the complementation map $A \\mapsto \\{1,\\ldots,n\\} \\setminus A$. We resolve this conjecture in the affirmative. 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