Work

Counting the Orbits of 𝚪𝟏 − Non-Deranged Permutation Group

Year: 2022

Type: article

Abstract: In this work we employ a combinatorial process to establish the intransitivity of a non-deranged permutation group . This provide for further study of some properties of the group thus, revealing that the average fixed points of every equals the number of orbits of . The study also deduce that the sum coefficients of cycle index polynomial of is unity.

Source: Zenodo (CERN European Organization for Nuclear Research)

DOI: 10.47191/ijmcr/v10i1.01

Authors: Garba, A.I., Haruna, M., Maryam, S., Suleiman, I.

Institutions: Usmanu Danfodiyo University, Shehu Shagari University of Education, Sokoto

Language: English

Topic: Finite Group Theory Research

Subfield: Discrete Mathematics and Combinatorics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W4226323866

FWCI:

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