As a young mathematician, G. Hajós prepared a Ph.D. thesis on certain determinant identities. The chairman of his doctoral committee, L. Fejér, whose name is closely associated with Fourier analysis, feeling that the result did not match the outstanding talent of the candidate, rejected the thesis. This is why Hajós turned to Minkowski’s famous unsolved conjecture.

In 1938 Hajós formulated the problem in terms of factorizations of groups and, making use of this reformulation, refuted Furtwängler’s conjecture about multiple cube tilings, described in Chapter 1. This time his thesis met Fejér’s legendary high standards.

Almost everyone, on first meeting the

EP - 186 ET - 1 PB - Mathematical Association of America PY - 1994 SN - 9780883850411 SP - 155 T2 - Algebra and Tiling T3 - Homomorphisms in the Service of Geometry UR - http://www.jstor.org/stable/10.4169/j.ctt5hh7z6.10 VL - 25 Y2 - 2021/09/19/ ER -