Publications
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R. Lutowski, J. Popko, A. Szczepański
Spinc structures on Hantzsche-Wendt manifolds
J. Geom. Phys. 171 (2022), Paper No. 104394
DOI: 10.1016/j.geomphys.2021.104394
preprint: arXiv:2103.01051 [math.AT] -
Rafał Lutowski
Flat manifolds with homogeneous holonomy representation
Publicationes Mathematicae Debrecen, 99 (2021), no. 1-2, 117-122
preprint: arXiv:1803.07177 [math.GR] -
G. Hiss, R. Lutowski, A. Szczepański
Flat manifolds with holonomy representation of quaternionic type
Communications in Algebra 49 (2021), no. 3, 1286–1294
DOI:10.1080/00927872.2020.1834568
preprint: arXiv:2002.07525 [math.GR] -
Emiliano Acri, Rafał Lutowski, Leandro Vendramin
Retractability of solutions to the Yang-Baxter equation and \(p\)-nilpotency of skew braces
Internat. J. Algebra Comput. 30 (2020), no. 1, 91–115
preprint: arXiv:1904.11657 -
Anna Gąsior, Rafał Lutowski, Andrzej Szczepański
A short note about diffuse Bieberbach groups
J. Algebra (2018), 237-245
DOI:10.1016/j.jalgebra.2017.08.033
preprint: arXiv:1703.04972 [math.GR]
Additional info and data can be found here -
Rafał Lutowski, Nansen Petrosyan, Andrzej Szczepański
Classification of spin structures on 4-dimensional almost-flat manifolds
Mathematika, Vol. 64(1) 2018, 253-266
DOI:10.1112/S0025579317000560
preprint: arXiv:1701.03920 [math.AT] -
Rafał Lutowski, Nansen Petrosyan, Jerzy Popko, Andrzej Szczepański
Spin structures of flat manifolds of diagonal type
Homology, Homotopy and Applications, vol. 21(2019), no. 2, 333-344
DOI: 10.4310/HHA.2019.v21.n2.a18
preprint, 2016, arXiv:1602.08585 [math.AT] -
Rafał Lutowski, Zbigniew Marciniak
Affine representations of Fibonacci groups and flat manifolds
Communications in Algebra, 46:6, 2738-2741
DOI: https://doi.org/10.1080/00927872.2017.1399412
preprint: arXiv:1507.08849 [math.GR] -
Rafał Lutowski, Andrzej Szczepański
Crystallographic groups with trivial center and outer automorphism group
Math. Proc. Cambridge Philos. Soc. (2018), 164(2), 363-368
DOI:10.1017/S0305004117000251
preprint: arXiv:1501.03648 [math.GR] -
Rafał Lutowski, Bartosz Putrycz
Spin structures on flat manifolds
J. Algebra 436 (2015), 277-291
Supplementary data: spin -
Rafał Lutowski, Andrzej Szczepański
Holonomy groups of flat manifolds with the \(R_\infty\) property
Fund. Math. 223 (2013), 195-205 -
Rafał Lutowski
Finite outer automorphism groups of crystallographic groups
Experimental Mathematics, 22(4):456–464, 2013 -
Rafał Lutowski
On symmetry of flat manifolds
Experimental Mathematics, vol. 18 (2009), 201-204
Appendix to the article: appendix.tar.gz
Preprints
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R. Lutowski, A. Szczepański, R. Weidmann
Automorphism groups of combinatorial Hantzsche-Wendt groups
preprint: arXiv:2401.05141 [math.GR] -
R. Lutowski, A. Gąsior
Complex Vasquez invariant
preprint: arXiv:2309.13740 [math.AT] -
R. Lutowski, A. Szczepański
Minimal non-solvable Bieberbach groups
preprint: arXiv:2302.11368 [math.GR] -
A. Gąsior, R. Lutowski
Spin-structures on real Bott manifolds with Kähler structure
preprint: arXiv:2207.04879 [math.DG] -
M. Hałenda, R. Lutowski
Symmetries of complex flat manifolds
preprint: arXiv:1905.11178 [math.CV] -
Rafał Lutowski
Seven dimensional flat manifolds with a cyclic holonomy group
preprint, 2011, arXiv:1101.2633