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A strong form of residual finiteness for groups
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Published/Copyright:
August 17, 2006
Abstract
In general the extension of a residually finite group by a residually finite group may not be residually finite. We define a strong form of residual finiteness for groups and show that the property is closed under extensions. We then show how groups with this property can be constructed using amalgamated free products and HNN extensions. This leads to a multitude of examples.
Received: 2005-01-20
Revised: 2005-06-04
Published Online: 2006-08-17
Published in Print: 2006-07-01
© Walter de Gruyter
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Articles in the same Issue
- Locally compact groups built up from p-adic Lie groups, for p in a given set of primes
- Embedding properties of metabelian pro-p groups
- Sylow theory for p = 0 in solvable groups of finite Morley rank
- On the residual nilpotence of pure Artin groups
- Infinite-ended groups with planar Cayley graphs
- A strong form of residual finiteness for groups
- Groups without proper abnormal subgroups
- On power endomorphisms of n-central groups
- On the orders of automorphism groups of finite groups. II
- Cyclic, separable and semisimple transformations in the special unitary groups over a finite field
