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Residual properties of graph products of groups
-
Federico Berlai
and
Michal Ferov
Published/Copyright:
January 8, 2016
Abstract
We prove that the class of residually š¯’˛ groups is closed under taking graph products, provided that š¯’˛ is closed under taking subgroups, finite direct products and that free-by-š¯’˛ groups are residually š¯’˛. As a consequence, we show that local embeddability into various classes of groups is stable under graph products. In particular, we prove that graph products of residually amenable groups are residually amenable, and that the class of groups that are locally embeddable into amenable groups is closed under taking graph products.
Funding source: European Research Council (ERC)
Award Identifier / Grant number: 259527
Received: 2015-6-19
Published Online: 2016-1-8
Published in Print: 2016-3-1
Ā© 2016 by De Gruyter
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- Mapping tori of free group automorphisms, and the Bieriā€“Neumannā€“Strebel invariant of graphs of groups
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- Towards Thompson's conjecture for alternating and symmetric groups
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Articles in the same Issue
- Frontmatter
- Mapping tori of free group automorphisms, and the Bieriā€“Neumannā€“Strebel invariant of graphs of groups
- Residual properties of graph products of groups
- On hereditarily just infinite profinite groups obtained via iterated wreath products
- Weak commutativity between two isomorphic polycyclic groups
- Isomorphisms and automorphisms of extensions of bilinear dimensional dual hyperovals and quadratic APN functions
- Finite groups in which pronormality and š¯”‰-pronormality coincide
- Towards Thompson's conjecture for alternating and symmetric groups
- Minimal length factorizations of finite simple groups of Lie type by unipotent Sylow subgroups
- A criterion for a finite permutation group to be transitive
- Inverse Glaubermanā€“Isaacs correspondence and subnormal subgroups
