Park, Sejong2014-08-292014-08-292014-08-29201410.1515/jgt-2013-0056https://infoscience.epfl.ch/handle/20.500.14299/106358WOS:000338850000007Thévenaz [6] made an interesting observation that the number of conjugacy classes of cyclic subgroups in a finite group G is equal to the rank of the matrix of the numbers of double cosets in G. We give another proof of this fact and present a fusion system version of it. In particular we use finite groups realizing the fusion system F as in our previous work [3].finite groupconjugacy classfusion systemtext::journal::journal article::research article