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- W2765652278 abstract "Direct powers of perfect groups admit more concise presentations than one might naively suppose. If $H_1G=H_2G=0$, then $G^n$ has a presentation with $O(log n)$ generators and $O(log n)^3$ relators. If, in addition, there is an element $gin G$ that has infinite order in every non-trivial quotient of $G$, then $G^n$ has a presentation with $d(G) +1$ generators and $O(log n)$ relators. The bounds that we obtain on the deficiency of $G^n$ are not monotone in $n$; this points to potential counterexamples for the Relation Gap Problem." @default.
- W2765652278 created "2017-11-10" @default.
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- W2765652278 date "2017-10-16" @default.
- W2765652278 modified "2023-09-27" @default.
- W2765652278 title "Concise presentations of direct products" @default.
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