“…Proof. Similar to the proof of Lemma 2.6, we can suppose for a contradiction that α θ 39 2 12 28 434 ⋅ ⋅ ⋅ 2 3 5 29 We deduce…”
Section: T T Tmentioning
confidence: 70%
“…The authors of [20] provided some explanations for this phenomenon. More detailed studies on abelian Singer groups appeared in [11, 12].…”
Section: Introductionmentioning
confidence: 99%
“…The authors of [20] provided some explanations for this phenomenon. More detailed studies on abelian Singer groups appeared in [11,12]. Both Kantor's results on projective planes and the research devoted to classifying the flagtransitive generalized quadrangles rely heavily on fundamental results regarding the structure of primitive permutation groups.…”
Let be a finite proper partial geometry pg not isomorphic to the van Lint–Schrijver partial geometry pg and let be a group of automorphisms of acting primitively on both points and lines of , we show that if then must be almost simple.
“…Proof. Similar to the proof of Lemma 2.6, we can suppose for a contradiction that α θ 39 2 12 28 434 ⋅ ⋅ ⋅ 2 3 5 29 We deduce…”
Section: T T Tmentioning
confidence: 70%
“…The authors of [20] provided some explanations for this phenomenon. More detailed studies on abelian Singer groups appeared in [11, 12].…”
Section: Introductionmentioning
confidence: 99%
“…The authors of [20] provided some explanations for this phenomenon. More detailed studies on abelian Singer groups appeared in [11,12]. Both Kantor's results on projective planes and the research devoted to classifying the flagtransitive generalized quadrangles rely heavily on fundamental results regarding the structure of primitive permutation groups.…”
Let be a finite proper partial geometry pg not isomorphic to the van Lint–Schrijver partial geometry pg and let be a group of automorphisms of acting primitively on both points and lines of , we show that if then must be almost simple.
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