Counting the Orbits of πšͺ𝟏 βˆ’ Non-Deranged Permutation Group

Abor Isa Garba, Haruna Haruna, M. Maryam, I Suleiman Β· Zenodo (CERN European Organization for Nuclear Research) Β· 2022

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.

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