H2(T, G, ∂) and central extensions for crossed modules

Autor:	M. Ladra, A. R. Grandjean
Rok vydání:	1999
Předmět:	Pure mathematics General Mathematics Kernel (statistics) Crossed module Extension (predicate logic) Invariant (mathematics) Mathematics
Zdroj:	Proceedings of the Edinburgh Mathematical Society. 42:169-177
ISSN:	1464-3839 0013-0915
DOI:	10.1017/s0013091500020095
Popis:	We prove in this paper that if (T, G, ∂) is a perfect and aspherical (Ker ∂ = 1) crossed module, then it admits a universal central extension, whose kernel is the invariant H2(T, G, ∂), that we introduced in [9].
Databáze:	OpenAIRE
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