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单词 Sporadic Group
释义

Sporadic Group

One of the 26 finite Simple Groups. The most complicated is the Monster Group. A summary, asgiven by Conway et al. (1985), is given below.

SymbolNameOrder
Mathieu11
Mathieu22
Mathieu122
Mathieu11
Mathieu11
Janko22
SuzSuzuki62
HSHigman-Sims22
McLMcLaughlin32
Conway11
Conway11
Conway21
HeHeld12
Fischer62
Fischer11
Fischer32
HNHarada-Norton12
ThThompson11
Baby Monster21
Monster11
Janko11
O'NO'Nan32
Janko32
LyLyons11
RuRudvalis21
Janko11

See also Baby Monster Group, Conway Groups, Fischer Groups, Harada-Norton Group, HeldGroup, Higman-Sims Group, Janko Groups, Lyons Group, Mathieu Groups, McLaughlin Group,Monster Group, O'Nan Group, Rudvalis Group, Suzuki Group, Thompson Group


References

Aschbacher, M. Sporadic Groups. New York: Cambridge University Press, 1994.

Conway, J. H.; Curtis, R. T.; Norton, S. P.; Parker, R. A.; and Wilson, R. A. Atlas of Finite Groups: Maximal Subgroups and Ordinary Characters for Simple Groups. Oxford, England: Clarendon Press, p. viii, 1985.

Math. Intell. Cover of volume 2, 1980.

Wilson, R. A. ``ATLAS of Finite Group Representation.''http://for.mat.bham.ac.uk/atlas/html/contents.html#spo.


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