The topological complexity of the free product
classification
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math.GT
keywords
complexityfreeproducttopologicalcohomologicaldimensiondiscreteformula
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We prove the formula $TC(G\ast H)=\max\{TC(G), TC(H), cd(G\times H)\}$ for the topological complexity of the free product of discrete groups with cohomological dimension >2.
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Configuration sets for groups
Develops practical tools for configuration sets F(G,k) in groups and applies them to homogeneous linear systems in finite fields and connectivity of Cayley graphs Cay(G^k, F(G,k)).
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