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- W2950953833 abstract "We first give a short group theoretic proof of the following result of Lackenby. If $G$ is a large group, $H$ is a finite index subgroup of $G$ admitting an epimorphism onto a non--cyclic free group, and $g$ is an element of $H$, then the quotient of $G$ by the normal subgroup generated by $g^n$ is large for all but finitely many $nin mathbb Z$. In the second part of this note we use similar methods to show that for every infinite sequence of primes $(p_1, p_2, ...)$, there exists an infinite finitely generated periodic group $Q$ with descending normal series $Q=Q_0rhd Q_1rhd ... $, such that $bigcap_i Q_i={1} $ and $Q_{i-1}/Q_i$ is either trivial or abelian of exponent $p_i$." @default.
- W2950953833 created "2019-06-27" @default.
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- W2950953833 date "2006-01-24" @default.
- W2950953833 modified "2023-09-23" @default.
- W2950953833 title "Large groups and their periodic quotients" @default.
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