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The computation of Schur multiplier and capability of pairs of groups of order p4

Nawi, Adnin Afifi and Mohd. Ali, Nor Muhainiah and Sarmin, Nor Haniza (2020) The computation of Schur multiplier and capability of pairs of groups of order p4. In: 27th National Symposium on Mathematical Sciences, SKSM 2019, 26 November 2019 - 27 November 2019, Bangi, Selangor, Malaysia.

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Official URL: http://dx.doi.org/10.1063/5.0018340

Abstract

The homological functors of a group have its foundation in homotopy theory and algebraic K-theory. The Schur multiplier of a group is one of the homological functors while the Schur multiplier of pairs of groups is a continuation of the Schur multiplier of a group. Meanwhile, a pair of groups is capable if the precise center or epicenter of the pair of group is trivial. In this research, the Schur multiplier and capability of pairs of all abelian groups of order p4 are computed.

Item Type:Conference or Workshop Item (Paper)
Uncontrolled Keywords:p4, Schur multiplier
Subjects:Q Science > QA Mathematics
Divisions:Science
ID Code:93654
Deposited By: Yanti Mohd Shah
Deposited On:31 Dec 2021 08:45
Last Modified:31 Dec 2021 08:45

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