The Schur multiplier of pairs of groups of order p3q | Zendy

Adnin Afifi Nawi | Zendy; Nor Muhainiah Mohd Ali | Zendy; Nor Haniza Sarmin | Zendy; S. Rashid | Zendy

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The Schur multiplier of pairs of groups of order p3q

Author(s) -

Adnin Afifi Nawi,

Nor Muhainiah Mohd Ali,

Nor Haniza Sarmin,

S. Rashid

Publication year - 2016

Publication title -

aip conference proceedings

Language(s) - English

Resource type - Conference proceedings

eISSN - 1551-7616

pISSN - 0094-243X

DOI - 10.1063/1.4954589

Subject(s) - schur multiplier , mathematics , abelian group , multiplier (economics) , combinatorics , schur's lemma , schur algebra , discrete mathematics , pure mathematics , cyclic group , classical orthogonal polynomials , gegenbauer polynomials , economics , orthogonal polynomials , macroeconomics

Let (G, N) be a pair of groups in which N is a normal subgroup of G. Then, the Schur multiplier of pairs of groups (G, N), denoted by M (G, N), is an extension of the Schur multiplier of a group G, which is a functorial abelian group. In this research, the Schur multiplier of pairs of all groups of order p3q where p is an odd prime and p < q is determined.

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