3 citations · 7 across the 4 of their papers we have counts for
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Properties of the combinatorial Hantzsche-Wendt groups
J. Popko, A. Szczepanski
Combinatorial Hantzsche-Wendt groups G(n) were defined by W. Craig and P. A. Linnell. For n = 2 it is a fundamental group of 3-dimensional oriented flat manifold with no cyclic hol…
Spin structures on Hantzsche-Wendt manifolds
Rafał Lutowski, Jerzy Popko, Andrzej Szczepański
Using a combinatorial description of Stiefel-Whitney classes of closed flat manifolds with diagonal holonomy representation, we show that no Hantzsche-Wendt manifold of dimension g…
Spin structures of flat manifolds of diagonal type
Rafał Lutowski, Nansen Petrosyan, Jerzy Popko +1
For each integer at least two, we construct non-spin closed oriented flat manifolds with holonomy group and with the property that all of their finite proper co…
Cohomological rigidity of oriented Hantzsche-Wendt manidolds
Jerzy Popko, Andrzej Szczepanski
By Hantzsche-Wendt manifold (for short HW-manifold) we understand any oriented closed Riemannian manifold of dimension n with a holonomy group (Z_2)^{n-1}. Two HW-manifolds M_1 and…