For a certain class of groups under a given finite group F, we define and compute genus groups, which coincide with the known genus groups in the case that F＇ is the trivial group. We prove the existence of various i...For a certain class of groups under a given finite group F, we define and compute genus groups, which coincide with the known genus groups in the case that F＇ is the trivial group. We prove the existence of various induced homomorphisms between genus groups. We discover an induced morphism arising from factoring out a finite normal subgroup.展开更多
文摘For a certain class of groups under a given finite group F, we define and compute genus groups, which coincide with the known genus groups in the case that F＇ is the trivial group. We prove the existence of various induced homomorphisms between genus groups. We discover an induced morphism arising from factoring out a finite normal subgroup.
