Classification of Finite p-Groups by the Size of Their Schur Multipliers

Autor(es)

Niroomand, Peyman ; Johari, Farangis

• Tipo de documento: Artigo Científico
• Fonte: BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY; v. N/A, p. 14-pg., 2022-06-29.

Resumo

Let d(G) be the minimum number of elements required to generate a group G. For a group G of order p(n) with a derived subgroup of order p(k) and d(G) = d, we know the order of the Schur multiplier of G is bounded by p(1/2(d-1)(n-k+2)+1). In this paper, we find the structure of all p-groups that obtains the mentioned bound. Moreover, we show that all of them are capable. (AU)

• Processo FAPESP: 22/00953-7 - Cohomologia, globalização e tópicos relacionados
• Beneficiário: Farangis Johari
• Modalidade de apoio: Bolsas no Brasil - Pós-Doutorado