Let (Formula presented.) be positive integers and (Formula presented.) a class of groups which is closed for subgroups, quotient groups and extensions. Suppose that a finite group G satisfies the condition that for every two subsets M and N of cardinalities m and n, respectively, there exist (Formula presented.) and (Formula presented.) such that (Formula presented.) Then either (Formula presented.) or (Formula presented.).
Applying the Kövári-Sós-Turán theorem to a question in group theory
Lucchini A.
2020
Abstract
Let (Formula presented.) be positive integers and (Formula presented.) a class of groups which is closed for subgroups, quotient groups and extensions. Suppose that a finite group G satisfies the condition that for every two subsets M and N of cardinalities m and n, respectively, there exist (Formula presented.) and (Formula presented.) such that (Formula presented.) Then either (Formula presented.) or (Formula presented.).File in questo prodotto:
Non ci sono file associati a questo prodotto.
Pubblicazioni consigliate
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.