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Wielandt, a subgroup $H$ of a finite group $X$ is called a $\\pi$-submaximal subgroup if there is a monomorphism $\\phi:X\\rightarrow Y$ into a finite group $Y$ such that $X^\\phi$ is subnormal in $Y$ and $H^\\phi=K\\cap X^\\phi$ for a $\\pi$-maximal subgroup $K$ of $Y$. In his talk at the well-known conference on finite groups in Santa-Cruz (USA) in 1979, Wielandt posed a series of open questions and among them the following problem: to describe the $\\pi$-submaximal subgroup of the minimal nonsolvable groups and to study properties of such subgroups: the "},"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":"1706.02016","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2017-06-07T00:46:37Z","cross_cats_sorted":[],"title_canon_sha256":"a194160d45655c2cc5b405a58c0ddabc1d3ce586df76abe57197312d0943a58e","abstract_canon_sha256":"a8bce473c44c3e4ae13a236b9777790f9e4e71f41c20897bfa101464095d833f"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:10:57.204234Z","signature_b64":"t9iZ35+JmMLVyjzOdxs+axwzOdMm6YTvatzA44fl6qzxJvKcAFS6PfgZ2S9sgKeLhXM1asq2/356e/DG6Do4BA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2f074dfded39489f6467bb269c4c196e5f353d404e7151bf38bbbf99706606ac","last_reissued_at":"2026-05-18T00:10:57.203603Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:10:57.203603Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Classification and properties of the $\\pi$-submaximal subgroups in minimal nonsolvable groups","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.GR","authors_text":"Danila Revin, Wenbin Guo","submitted_at":"2017-06-07T00:46:37Z","abstract_excerpt":"Let $\\pi$ be a set of primes. According to H. Wielandt, a subgroup $H$ of a finite group $X$ is called a $\\pi$-submaximal subgroup if there is a monomorphism $\\phi:X\\rightarrow Y$ into a finite group $Y$ such that $X^\\phi$ is subnormal in $Y$ and $H^\\phi=K\\cap X^\\phi$ for a $\\pi$-maximal subgroup $K$ of $Y$. In his talk at the well-known conference on finite groups in Santa-Cruz (USA) in 1979, Wielandt posed a series of open questions and among them the following problem: to describe the $\\pi$-submaximal subgroup of the minimal nonsolvable groups and to study properties of such subgroups: the "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1706.02016","kind":"arxiv","version":1},"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":"1706.02016","created_at":"2026-05-18T00:10:57.203690+00:00"},{"alias_kind":"arxiv_version","alias_value":"1706.02016v1","created_at":"2026-05-18T00:10:57.203690+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1706.02016","created_at":"2026-05-18T00:10:57.203690+00:00"},{"alias_kind":"pith_short_12","alias_value":"F4DU37PNHFEJ","created_at":"2026-05-18T12:31:15.632608+00:00"},{"alias_kind":"pith_short_16","alias_value":"F4DU37PNHFEJ6ZDH","created_at":"2026-05-18T12:31:15.632608+00:00"},{"alias_kind":"pith_short_8","alias_value":"F4DU37PN","created_at":"2026-05-18T12:31:15.632608+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/F4DU37PNHFEJ6ZDHXMTJYTAZNZ","json":"https://pith.science/pith/F4DU37PNHFEJ6ZDHXMTJYTAZNZ.json","graph_json":"https://pith.science/api/pith-number/F4DU37PNHFEJ6ZDHXMTJYTAZNZ/graph.json","events_json":"https://pith.science/api/pith-number/F4DU37PNHFEJ6ZDHXMTJYTAZNZ/events.json","paper":"https://pith.science/paper/F4DU37PN"},"agent_actions":{"view_html":"https://pith.science/pith/F4DU37PNHFEJ6ZDHXMTJYTAZNZ","download_json":"https://pith.science/pith/F4DU37PNHFEJ6ZDHXMTJYTAZNZ.json","view_paper":"https://pith.science/paper/F4DU37PN","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1706.02016&json=true","fetch_graph":"https://pith.science/api/pith-number/F4DU37PNHFEJ6ZDHXMTJYTAZNZ/graph.json","fetch_events":"https://pith.science/api/pith-number/F4DU37PNHFEJ6ZDHXMTJYTAZNZ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/F4DU37PNHFEJ6ZDHXMTJYTAZNZ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/F4DU37PNHFEJ6ZDHXMTJYTAZNZ/action/storage_attestation","attest_author":"https://pith.science/pith/F4DU37PNHFEJ6ZDHXMTJYTAZNZ/action/author_attestation","sign_citation":"https://pith.science/pith/F4DU37PNHFEJ6ZDHXMTJYTAZNZ/action/citation_signature","submit_replication":"https://pith.science/pith/F4DU37PNHFEJ6ZDHXMTJYTAZNZ/action/replication_record"}},"created_at":"2026-05-18T00:10:57.203690+00:00","updated_at":"2026-05-18T00:10:57.203690+00:00"}