{"paper":{"title":"Finite $p$-groups of class 2 have noninner automorphisms of order $p$","license":"","headline":"","cross_cats":[],"primary_cat":"math.GR","authors_text":"A. Abdollahi","submitted_at":"2006-08-23T15:57:44Z","abstract_excerpt":"We prove that for any prime number $p$, every finite non-abelian $p$-group\n $G$ of class 2 has a noninner automorphism of order $p$ leaving either the Frattini subgroup $\\Phi(G)$ or $\\Omega_1(Z(G))$ elementwise fixed."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/0608581","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"}