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A characterization of abelian group codes in terms of their parameters
Fatma Altunbulak Aksu, İpek Tuvay
In 1979, Miller proved that for a group of odd order, two minimal group codes in are -equivalent if and only they have identical weight distribution. In 2014…
On the number of non-G-equivalent minimal abelian codes
Fatma Altunbulak Aksu, İpek Tuvay
Let be a finite abelian group. Ferraz, Guerreiro and Polcino Milies prove that the number of -equivalence classes of minimal abelian codes is equal to the number of -isom…
The quaternion group has ghost number three
Fatma Altunbulak Aksu, David J. Green
We prove that the group algebra of the quaternion group over any field of characteristic two has ghost number three.
Essential cohomology for elementary abelian p-groups
Fatma Altunbulak Aksu, David J. Green
For an odd prime p the cohomology ring of an elementary abelian p-group is polynomial tensor exterior. We show that the ideal of essential classes is the Steenrod closure of the cl…