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In this paper, we give an explicit answer for $n=2$. More precisely, we explicitly compute the action of the Steenrod-Milnor operations $St^{S,R}$ on the generators of $D_n$ for $n=2$ and for either $S=\\emptyset, R=(i)$ or $S=(s), R=(i)$ with $s,i$ arbitrary nonnegative integers."},"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":"1710.05280","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AT","submitted_at":"2017-10-15T06:16:37Z","cross_cats_sorted":[],"title_canon_sha256":"581780c3f4caa134c83a5955453188493469ea2b08ac15b41c6effb464837892","abstract_canon_sha256":"52dc10166c8c699266a4f78a404feaccf2a9d9ceecca54d6d96d74da36162bb9"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:32:53.769635Z","signature_b64":"JlFvlbUrfN8Kr8FZA6UGUevPVio5qRn3jSU0DwBAKrIsR6iCY0rntc0xgD8oaHV+FzDC2AXcbfBX/NUPkIViDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"bb6db6824d8449470e58ba3549eae02320f5e84259bcad7563ddc7bf746fddb9","last_reissued_at":"2026-05-18T00:32:53.768939Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:32:53.768939Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On the module structure over the Steenrod algebra of the Dickson algebra","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"math.AT","authors_text":"Nguyen Sum","submitted_at":"2017-10-15T06:16:37Z","abstract_excerpt":"Let $p$ be an odd prime number. 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