康威群

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Rubik's cube.svg

康威群英语Conway groupCo1Co2Co3是三个散在群,由英国数学家约翰·何顿·康威发现。[1][2]

康威群都是通过利奇格(Leech lattice)构造得到的。它们的分别为:

Co1:4,157,776,806,543,360,000 = 221 · 39 · 54 · 72 · 11 · 13 · 23
Co2:42,305,421,312,000 = 218 · 36 · 53 · 7 · 11 · 23
Co3:495,766,656,000 = 210 · 37 · 53 · 7 · 11 · 23

参考文献[编辑]

  1. ^ Conway, John Horton, A perfect group of order 8,315,553,613,086,720,000 and the sporadic simple groups, Proceedings of the National Academy of Sciences of the United States of America. 1968, 61 (2): 398–400, doi:10.1073/pnas.61.2.398 
  2. ^ Conway, John Horton, A group of order 8,315,553,613,086,720,000, The Bulletin of the London Mathematical Society. 1969, 1: 79–88, ISSN 0024-6093