论文标题

关于弗拉蒂尼亚组中心的既定学琐事

On the cohomological triviality of the center of the Frattini subgroup

论文作者

Calles, Jaime, Cantarero, José, Gómez, Juan Omar, Ortega, Gustavo

论文摘要

我们改善了P. schmid的反例上的现有下限,确定每个素数的最低顺序反示例的某些特性,以及frattini子组中心的同构类型256的反例。满足猜想。

We improve the existing lower bounds on the order of counterexamples to a conjecture by P. Schmid, determine some properties of the possible counterexamples of minimum order for each prime, and the isomorphism type of the center of the Frattini subgroup for the counterexamples of order 256. We also show that nonabelian metacyclic p-groups, nonabelian groups of maximal nilpotency class and 2-groups of coclass two satisfy the conjecture.

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