Invariants for permutation-Hermite equivalence and critical dimension groups

Titelaufnahme

Titel
Invariants for permutation-Hermite equivalence and critical dimension groups
Verfasser
Handelman, David ; Handelman, David Eli
Enthalten in
Münster Journal of Mathematics, H. Münster Journal of Mathematics, S. 49-156
Erschienen
2018
Sprache
Englisch
Dokumenttyp
Aufsatz in einer Zeitschrift
URN
urn:nbn:de:hbz:6-87109580116
DOI
10.17879/87109579816

Zugriffsbeschränkung

Links

Dateien

Klassifikation

Abstract

Motivated by classification, up to order isomorphism, of dense subgroups of Euclidean space that are free of minimal rank, we obtain apparently new invariants for an equivalence relation (intermediate between Hermite and Smith) on integer matrices. These then participate in the classification of the dense subgroups. The same equivalence relation has appeared before, in the classification of lattice simplices. We discuss this equivalence relation (called permutation-Hermite), obtain fairly fine invariants for it, and have density results, and some formulas counting the numbers of equivalence classes for fixed determinant.

Statistik