康威群(英語:Conway groupCo1Co2Co3是三個散在群,由英國數學家約翰·何頓·康威發現。[1][2]

群論


康威群都是通過利奇格(Leech lattice)構造得到的。它們的分別為:

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

參考文獻

  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, MR 0237634, 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, MR 0248216