Held和O 'Nan散在单群的Kimmerle猜想
Kimmerle conjecture for the Held and O'Nan sporadic simple groups
摘要:
利用Luthar-Passi方法,研究了Held和O 'Nan散在单群的整群环的正规化单位群的Zassenhaus和Kimmerle结构.我们证实了Kimmerle猜想的Held单群,并得出了一些额外的信息,这两个群体的经典Zassenhaus猜想。
英文摘要:
Using the Luthar--Passi method, we investigate the Zassenhaus and Kimmerle conjectures for normalized unit groups of integral group rings of the Held and O'Nan sporadic simple groups. We confirm the Kimmerle conjecture for the Held simple group and also derive for both groups some extra information relevant to the classical Zassenhaus conjecture.
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