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The action of G22 on PL(Fp)
Authors: Q. Mushtaq and N. Siddiqui
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Abstract
K3 is a copy of unique circuit-free connected graph all of whose vertices have degree 3, called cubic tree. The group G22 generated by x, y, t such that x2=t, y3=t2=(yt)2=1, is one of the seven finitely presented isomorphism types of sub\-groups of the full automorphism group Aut(K3) of K3. These seven groups act arc-transitively on the arcs of K3 with a finite vertex stabilizer. In this paper we have found a condition on p such that the action of K3 on the projective line over the finite field, PL(Fp), always yields the subgroups of the alternating groups of degree p+1. We have shown also that the action of K3 on PL(Fp) is transitive.Fulltext
– 0.22 Mb
Contents
- Redefined fuzzy Lie subalgebras
- Generalized fuzzy subquasigroups
- Secondary representation of semimodules over a commutative semiring
- Groups homeomorphisms: topological characteristics, invariant measures and classification
- Fuzzy regular congruence relations on hyper BCK-algebras
- On prolongations of quasigroups
- On fuzzy relations and fuzzy quotient Gamma-groups
- Fuzzy ideals in ordered semigroups I
- The action of G22 on PL(Fp)
- Simple hyper K-algebras
- Prime bi-ideals in ternary semigroups
