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A Note on Thompson Problem

Yu LiWujie Shi
Mar 2023
摘要
In this paper, we prove that if two finite groups G and H have isomorphicBurnside rings, then G and H are the same order type groups, and give anexample to show that the Burnside rings of the same order type groups are notnecessarily isomorphic. This result is related to the Thompson Problem whichwas raised in 1987.
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