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group theory

Third Homology of some Sporadic Finite Groups

arXiv:1810.00463 · doi:10.3842/SIGMA.2019.059

summary

The paper determines the integral third homology groups for most sporadic finite simple groups and their central extensions.

Abstract

We compute the integral third homology of most of the sporadic finite simple groups and of their central extensions.

Topics & keywords

#sporadic groups#third homology#integral homology#central extensions#finite simple groupsH_3integral homologysporadic simple groupscentral extensionsgroup cohomology