{"id":"W4409295912","doi":"10.1007/s10998-025-00641-5","title":"The automorphism group of certain polycyclic groups","year":2025,"lang":"en","type":"article","venue":"Periodica Mathematica Hungarica","topic":"Finite Group Theory Research","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Regina; Université de Montréal","funders":"","keywords":"Mathematics; Inner automorphism; Automorphism; Outer automorphism group; Group (periodic table); Automorphism group; p-group; Combinatorics; Pure mathematics; Chemistry; Organic chemistry","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":"codex-gemma-dda1882f352a","candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00268594,0.0003906772,0.0007769067,0.0003276053,0.000872207,0.0002092581,0.001550997,0.0002167821,0.0003839467],"category_scores_gemma":[0.004525759,0.0002695477,0.0003492773,0.001044245,0.001205678,0.0001188104,0.0005508636,0.0006019556,0.0001573221],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001297036,"about_ca_system_score_gemma":0.0001817087,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00002041432,"about_ca_topic_score_gemma":0.00002427512,"domain_scores_codex":[0.9960694,0.0004995795,0.001203459,0.000483264,0.0008999844,0.0008442858],"domain_scores_gemma":[0.9905448,0.007015761,0.0003798915,0.00177401,0.0001234685,0.0001620628],"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":[0.0001112782,0.0004801262,0.0001511375,0.0004491825,0.0002206926,0.00001195259,0.00176854,1.672904e-7,0.002655259,0.9787046,0.009897943,0.005549166],"study_design_scores_gemma":[0.0007668759,0.0001528922,0.0006498074,0.0002796992,0.0001430527,0.00002695031,0.001028417,0.001692687,0.001392557,0.9672181,0.02632364,0.0003253324],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.4864571,0.003189398,0.06454374,0.02159016,0.001245702,0.005801201,0.00009500796,0.001671047,0.4154066],"genre_scores_gemma":[0.9715998,0.00009822523,0.01528875,0.0002014788,0.00007990385,0.0003472578,0.000007252315,0.00008902936,0.01228831],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.4851426,"threshold_uncertainty_score":0.9999757,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.0337060240299435,"score_gpt":0.328990193221914,"score_spread":0.2952841691919705,"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."}}