关于Goodman-de la Harpe-Jones子因子的中间子因子
On intermediate subfactors of Goodman-de la Harpe-Jones subfactors
摘要：
本文提出了一个关于中间子因子的猜想，它是有限群理论中Wall猜想的推广.受此猜想的启发，我们确定了Goodman-Harpe-Jones子因子的所有中间子因子，并验证了Goodman-Harpe-Jones子因子验证了我们的猜想。我们的结果也给出了一个问题的动机的Aschbacher-Guralnick猜想的否定答案。
英文摘要：
In this paper we present a conjecture on intermediate subfactors which is a generalization of Wall's conjecture from the theory of finite groups. Motivated by this conjecture, we determine all intermediate subfactors of Goodman-Harpe-Jones subfactors, and as a result we verify that Goodman-Harpe-Jones subfactors verify our conjecture. Our result also gives a negative answer to a question motivated by a conjecture of Aschbacher-Guralnick.
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