Group cohomology of groups of prime-cube order
This article gives specific information, namely, group cohomology, about a family of groups, namely: groups of prime-cube order.
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This article describes the group cohomology of groups of prime-cube order. The two cases (see group cohomology of groups of order 8) and (see group cohomology of groups of order 27) are somewhat special.
Second cohomology groups and extensions
Schur multipliers and Schur covering groups
The Schur multiplier is defined as second cohomology group for trivial group action, , and also as the second homology group . A corresponding Schur covering group of is a group that arises as a stem extension with base normal subgroup the Schur multiplier and the quotient group is .