The Scott-Wiegold conjecture (1976) is stated as follows:
In 1992 this was included as problem 5.53 of The Kourovka Notebook: Unsolved Problems in .
The conjecture was proven to be true in 2001 by James Howie . Despite remaining an unsolved problem for 25 years, the proof is both brief and fairly elementary.
Whilst the question is group theoretic and involves only , the proof does not use any combinatorial but instead depends on basic notions from topology.
- 1 V.D.Mazurov, E.I. Khukhro (Eds.), Unsolved Problems in Group Theory: The Kourovka Notebook, Edition, Russian Academy of Sciences, Novosibirsk, 1992.
- 2 James Howie, A proof of the Scott-Wiegold conjecture on free products of cyclic groups, Journal of Pure and Applied Algebra 173, 2002 pp.167–176
|Date of creation||2013-03-22 18:29:34|
|Last modified on||2013-03-22 18:29:34|
|Last modified by||whm22 (2009)|
|Synonym||one relator products of cyclic groups|