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Computing Schur multipliers and tensor products of finite groups. (English) Zbl 0863.20010
A new computer algorithm for determining tensor products (and Schur multipliers) of finite groups, starting from presentations of the finite groups, is given. In application the tensor square (and Schur multiplier) of the Burnside group B(2,4) of exponent 4 and order 4096 is computed.

MSC:
20C40Computational methods (representations of groups)
20C25Projective representations and multipliers of groups
20F05Generators, relations, and presentations of groups