The Number of Homomorphisms Between a Non-Comnutatire Groups with Sylow p-Subgroups as Cyclic Groups and the Modular Groups
Combining the knowledge of algebra and number theory,we calculate the number of homomorphisms between a class of Sylow p-subgroups as cyclic groups of order 2qpn and the modular groups.As an application,the conjecture of T.Asai and T.Yoshida is proved to be valid for such groups.
non-abelian groupmodular groupnumber of homomorphismsconjecture of T.Asai and T.Yoshida
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