康威群
康威群（英語：Conway group）Co1、Co2、Co3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。它们的阶分别为：
- 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]- ^ 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
- ^ 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