The paper investigates exterior and symmetric (co)homologies of groups. We introduce symmetric homology of groups and compute exterior and symmetric (co)homologies of some finite groups. We also compare the classical, exterior and symmetric (co)homologies. Finally, we derive restriction and corestriction homomorphisms for exterior cohomology.

中文翻译：

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群的外部和对称（共）同源性

本文研究了群的外部和对称（共）同调。我们引入群的对称同调并计算一些有限群的外部和对称（共）同调。我们还比较了经典、外部和对称（共）同调。最后，我们推导出外上同调的限制和共限制同态。