Double cover of alternating group:A8
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Definition
The double cover of alternating group:A8, denoted , is defined as the double cover of alternating group for alternating group:A8. It is the unique Schur covering group for alternating group:A8, whose Schur multiplier is cyclic group:Z2.
Arithmetic functions
Want to compare and contrast arithmetic function values with other groups of the same order? Check out groups of order 40320#Arithmetic functions
Function | Value | Similar groups | Explanation for function value |
---|---|---|---|
order (number of elements, equivalently, cardinality or size of underlying set) | 40320 | groups with same order | As ![]() ![]() |
GAP implementation
Description | Functions used |
---|---|
PerfectGroup(40320,3) | PerfectGroup |
SchurCover(AlternatingGroup(8)) | SchurCover, AlternatingGroup |