Broue's Abelian Defect Group Conjecture for the Tits Group

Details Broue's Abelian Defect Group Conjecture for the Tits Group Broue's Abelian Defect Group Conjecture for the Tits Group

2008-07-19

arxiv.org/abs/0807.3105v1

Mathematics

Representation Theory

23 pages

Scientific paper

In this paper we prove that Broue's abelian defect group conjecture holds for
the Tits group $^2F_4(2)'$. Also we prove that under certain conditions we are
able to lift derived equivalences and use this to prove Broue's conjecture for
the group $^2F_4(2)$.

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