Infinite periodic groups of even exponents

R\'emi Coulon (IRMAR)

Infinite periodic groups of even exponents

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arxiv 1810.08372 v4 pith:EWTKHEI5 submitted 2018-10-19 math.GR math.MG

Rémi Coulon (IRMAR) This is my paper · ORCID

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keywords evenexponentsgroupsinfiniteperiodicactionacylindricityadmits

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We give a new proof that free Burnside groups of sufficiently large even exponents are infinite. The method is very flexible and can also be used to study (partially) periodic quotients of any group which admits an action on a hyperbolic space satisfying a weak form of acylindricity.

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Power quotients of surface groups and mapping class groups
math.GR 2025-07 conditional novelty 8.0 of 10

For sufficiently large n, the automorphism and outer automorphism groups of the n-power quotient of a hyperbolic surface group are isomorphic to the corresponding power quotients of the extended mapping class group, a...

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