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We give a list of finite groups containing all finite groups G such that the group of units ZG∗ of the integral group ring ZG is subgroup separable. There are only two types of these groups G fo...
On subgroup conjugacy separability in the class of virtually free groups
subgroup conjugacy separability class of virtually free groups
2011/2/25
A group G is called subgroup conjugacy separable (abbreviated as SCS), if any two finitely generated and non-conjugate subgroups of G remain non-conjugate in some finite quotient of G. We prove that t...
Bi-presymplectic representation of Liouville integrable systems and related separability theory
Bi-presymplectic representation Liouville integrable systems related separability theory
2010/12/15
Bi-presymplectic chains of one-forms of arbitrary co-rank are considered. The conditions in which such chains represent some Liouville integrable systems and the conditions in which there exist relate...
The RCCN criterion of separability for states in infinite-dimensional quantum systems
Quantum state infinite-dimensional bipartite system entanglement
2010/12/15
In this paper, the realignment criterion and the RCCN criterion of separability for states in infinite-dimensional bipartite quantum systems are established. Let HA and HB be complex Hilbert spaces wi...
Conjugacy p-separability of right-angled Artin groups and applications
Conjugacy p-separability right-angled Artin groups applications
2010/12/9
We prove that every subgroup of p-power index in a right-angled Artin group is conjugacy p-separable. In particular, every right-angled Artin group is conjugacy p-separable. A consequence of this resu...