Blaubeuren's conjecture on finitely generated images of profinite groups
A profinite group is a compact, totally disconnected topological group, and an image is finitely generated when it is generated by finitely many elements.
Blaubeuren's conjecture. A profinite group cannot have an infinite finitely generated image.
This conjecture concerns the possible abstract homomorphic images of profinite groups and asserts that finite generation forces such an image to be finite. The source gives no resolution, so its status remains open.
References
Primary source
Talia Fernos and Pooja Singla, “Images of Real Representations of SL_n(Z_p)”, arXiv:1104.4542 (2016).
Additional references
2 papers in this index state this conjecture (2009–2011). The statement above is taken from the most recent of them; the others are arXiv:0901.0244.
Progress summary
Nothing recorded yet. Refresh searches the literature and the public web for attempts on this problem, and writes the first summary here.
Solutions 0
No solutions have been posted yet.