{"id":"W2949245455","doi":"10.48550/arxiv.0908.0569","title":"Compressed words and automorphisms in fully residually free groups","year":2009,"lang":"en","type":"preprint","venue":"ArXiv.org","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"McGill University","funders":"","keywords":"Decidability; Automorphism; Word (group theory); Word problem (mathematics education); Mathematics; Group (periodic table); Polynomial; Finitely-generated abelian group; Free group; Combinatorics; Discrete mathematics; Arithmetic; Physics; Mathematical analysis; Geometry","routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":false},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001224902,0.0005351081,0.0006503102,0.0008830122,0.001076821,0.002603829,0.001097567,0.001086766,0.004640608],"category_scores_gemma":[0.005042564,0.0004616978,0.001264111,0.0008653792,0.003306741,0.008440058,0.002485669,0.002075475,0.0004953742],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001286566,"about_ca_system_score_gemma":0.0009297051,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001424852,"about_ca_topic_score_gemma":0.001233646,"domain_scores_codex":[0.9980172,0.0004694386,0.0001754699,0.0005305119,0.000446184,0.0003611605],"domain_scores_gemma":[0.9946592,0.003550656,0.0004553683,0.0008231027,0.0003088917,0.0002027624],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.0003080259,0.00008178183,0.0008731959,0.0001873087,0.00003402885,0.0002966868,0.00130886,0.01513218,0.008142288,0.947516,0.002302244,0.02381742],"study_design_scores_gemma":[0.00003414027,0.00004859915,0.0001419124,0.00001469056,0.00001924227,0.0001258622,0.000164432,0.02127731,0.004776136,0.9698827,0.003493719,0.00002116523],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.6100948,0.0009278747,0.3638075,0.002822446,0.0001958745,0.0001648614,0.0009981556,0.00185232,0.01913623],"genre_scores_gemma":[0.9526482,0.0002707038,0.03972661,0.0002565856,0.0001747345,0.00009723568,0.001010632,0.0001582914,0.005656968],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.004640608,"threshold_uncertainty_score":0.01552439,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.07058922011539687,"score_gpt":0.3044489275108015,"score_spread":0.2338597073954046,"validation_status":"score_only:v0-immature-baseline","note":"Baseline scores from an immature model (maturity gate not passed). Scores rank; they never assert a category."}}