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On Lyndon's equation in some Λ-free groups and HNN extensions
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L. Ciobanu
,
B. Fine
Published/Copyright:
October 13, 2010
Abstract
In this paper we study Lyndon's equation xpyqzr = 1, with x, y, z group elements and p, q, r positive integers, in HNN extensions of free and fully residually free groups, and draw some conclusions about its behavior in Λ-free groups.
Received: 2010-04-20
Revised: 2010-06-22
Published Online: 2010-10-13
Published in Print: 2011-May
© de Gruyter 2011
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- Approximation of automorphisms of the rationals and the random graph
- Bass–Serre theory and counting rank two amalgams
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Articles in the same Issue
- On Lyndon's equation in some Λ-free groups and HNN extensions
- On triple factorizations of finite groups
- Approximation of automorphisms of the rationals and the random graph
- Bass–Serre theory and counting rank two amalgams
- Rational defect groups and 2-rational characters
- The imprimitive faithful complex characters of the Schur covers of the symmetric and alternating groups
- Real and strongly real classes in SLn(q)
- Real and strongly real classes in PGLn(q) and quasi-simple covers of PSLn(q)
