We obtain new bounds for the exponent of the Schur multiplier of a given p-group. We prove
that the exponent of the Schur multiplier can be bounded by a function depending only on …

For any integer n≠ 0, 1, a group G is said to be “n-Bell” if it satisfies the identity [xn, y]=[x, yn].
It is known that if G is an n-Bell group, then the factor group G/Z 2 (G) has finite exponent …

In this note we describe the exponent semigroups of finite p-groups of maximal class and
finite p-groups of class at most 5. Consequently, sharp bounds for the exponent of the Schur …

Given an integer n≠ 0, 1, let ℬ n be the variety of n-Bell groups defined by the law [xn, y]=[x,
yn], and let be the class of all groups G in which, for any infinite subsets X and Y of G, there …

Strongly regular relation and n-Bell groups derived from it Page 1 ITALIAN JOURNAL OF
PURE AND APPLIED MATHEMATICS – N. 49–2023 (19–28) 19 Strongly regular relation and …

For any integer n 0, 1, a group G is said to be n-abelian if it satisfies the identity (xy)" x" y".
More generally, G is called an Alperin group if it is n-abelian for some n 0, 1. We consider …

L'objet de ce travail est la généralisation à un groupe infini de deux résultats obtenus par
Corsi Tani et Bonafede sur la structure du groupe des endomorphismes rationnels …

Let n≠ 0, 1 be an integer and be the variety of n-Bell groups defined by the law [xn, y][x, yn]-
1= 1. Let be the class of groups in which for any infinite subsets X and Y there exist x∈ X …

Abstract top Let n≠ 0, 1 be an integer. A group G is said to be n-abelian if the mapping fn:
x→ xn is an endomorphism of G. Then (x⁢ y) n= xn⁢ yn for all x, y∈ G, from which it follows …

EUDML | Sui gruppi di Bell Skip to main content (access key 's'), Skip to navigation (access key
'n'), Accessibility information (access key '0') EuDML - The European Digital Mathematics …