{'fraction_non_alphanumeric': 0.0225, 'fraction_numerical': 0.0, 'mean_word_length': 5.265625, 'pattern_counts': {'":': 0, '<': 0, '<?xml version=': 0, '>': 0, 'https://': 0, 'lorem ipsum': 0, 'www.': 0, 'xml': 0}, 'pii_count': 0, 'substrings_counts': 0, 'word_list_counts': {'cursed_substrings.json': 0, 'profanity_word_list.json': 0, 'sexual_word_list.json': 0, 'zh_pornsignals.json': 0}}
Completing Segre's proof of Wedderburn's little theorem

We use the Dandelin–Gallucci theorem to give a proof of Wedderburn's little theorem that every finite division ring is commutative, and the proof is geometric in the sense that the non‐geometric concepts employed are of an elementary nature. As a consequence, we obtain a geometric proof that a finite Desarguesian projective space is Pappian.