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On complexity of multiplication in finite soluble groups

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arxiv 1405.0150 v3 pith:MJ45IROJ submitted 2014-05-01 math.GR

On complexity of multiplication in finite soluble groups

classification math.GR
keywords complexityfinitegrouppolycyclicsolubleattentionboundcertain
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We determine a reasonable upper bound for the complexity of collection from the left to multiply two elements of a finite soluble, or polycyclic, group by restricting attention to certain polycyclic presentations of the group.

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