A classification of finite primitive IBIS groups with alternating socle
A classification of finite primitive IBIS groups with alternating socle
Abstract Let 𝐺 be a finite permutation group on Ω. An ordered sequence <m:math xmlns:m="http://www.w3.org/1998/Math/MathML"> <m:mrow> <m:mo stretchy="false">(</m:mo> <m:msub> <m:mi>ω</m:mi> <m:mn>1</m:mn> </m:msub> <m:mo>,</m:mo> <m:mi mathvariant="normal">…</m:mi> <m:mo>,</m:mo> <m:msub> <m:mi>ω</m:mi> <m:mi mathvariant="normal">ℓ</m:mi> </m:msub> <m:mo stretchy="false">)</m:mo> </m:mrow> </m:math> (\omega_{1},\ldots,\omega_{\ell}) of elements of Ω is an irredundant base for 𝐺 if the pointwise stabilizer …