Jon Carlson
Athens, GA
Comparing Group Algebras
Thursday 21st November, 3:05-4pm
Carslaw 175
I will discuss the isomorphism problem for modular group algebras of
p-groups. The question is: suppose that G and
H are p-groups and that their group algebras
kG and kH are isomorphic where k is a field
of characteristic p. Is it necessary that G and
H be isomorphic? It is known that the answer is yes for groups
of order 128 (p = 2).
Éamonn O'Brien and I are working on a program to check the groups
of order 256. The idea is to use the packages for basic algebras and for
finitely presented algebras to create a test for isomorphism of local
algebras.
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