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The $E_1$-term $E_1^{s,t}(k)$ of the spectral sequence is an Ext group of $BP_*BP$-comodules. There are a sequence of Ext groups $E_1^{s,t}(n-s)$ for non-negative integers $n$ with $E_1^{s,t}(0)=E_1^{s,t}$, and Bockstein spectral sequences computing a module $E_1^{s,*}(n-s)$ from $E_1^{s-1,*}(n-s+1)$. So far, a small number of the $E_1$-terms are determined. Here, we determine the $E_1^{1,1}(n-1)=\\e^1M^1_{n-1}$ for $p>2$ and $n>3$ by computing","authors_text":"Katsumi Shimomura, Ryo Kato","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2012-02-12T11:18:59Z","title":"The first line of the Bockstein spectral sequence on a monochromatic spectrum at an odd prime"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1202.2517","kind":"arxiv","version":1},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:eab9c4d07c41110cebc79ac61f251c998e14636d9fa370dd32fed51cd79ff37b","target":"record","created_at":"2026-05-18T04:02:26Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"ad47f4690928dcab01ef68b0b203cdde70bb04b270141fd63349c4134d8fabd3","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2012-02-12T11:18:59Z","title_canon_sha256":"ba5b94f8476a25d5157aeac34359a88be8f687e5de84ca47073d62f4eb1cfe50"},"schema_version":"1.0","source":{"id":"1202.2517","kind":"arxiv","version":1}},"canonical_sha256":"6dbd0813ed7abbbebfd228ca78ccc2fb6ba2e37f45b3071bb4a254d860601ffc","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6dbd0813ed7abbbebfd228ca78ccc2fb6ba2e37f45b3071bb4a254d860601ffc","first_computed_at":"2026-05-18T04:02:26.316814Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:02:26.316814Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"AAMS8sWKqlrA1t7F25dxQ2rgW67EqUtDIX8E9Ugxelt7HeXDz1ZiWIghko0akxvRIEA3iDlSLGtoDCSGKruQAA==","signature_status":"signed_v1","signed_at":"2026-05-18T04:02:26.317283Z","signed_message":"canonical_sha256_bytes"},"source_id":"1202.2517","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:eab9c4d07c41110cebc79ac61f251c998e14636d9fa370dd32fed51cd79ff37b","sha256:557ec733da7dea7ed2a78b76ee9eee2d94ba88023503cb9c83bbe2d6584446c9"],"state_sha256":"fe75668001b0618e153340916a1deb61b75f2de80296919aaee4ef6ce06205e8"}