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EVENT: Groups and Combinatorics Seminar:Symmetric designs and their automorphism groups

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Today's date is Friday, March 05, 2021
Groups and Combinatorics Seminar:Symmetric designs and their automorphism groups Other events...
Speaker: Seyed Hassan Alavi (Bu-Ali Sina University)

Time and place: 16:00 Friday 24/03/2017 in Weatherburn LT

Title: Symmetric designs and their automorphism groups

Abstract: A symmetric design (v,k,λ) is an incidence structure consisting of a set of v points and a set of v blocks with an incidence relation such that every block is incident with exactly k points, and every pair of points is incident with exactly λ blocks. An automorphism group of a symmetric design is a group of permutations on points of the design which maps blocks to blocks and preserves the incidence and non-incidence relations. An automorphism group of a design naturally acts on the elements of the design, namely, points, blocks and flags. The main part of this talk is devoted to giving a survey on recent study of symmetric designs which admit a group of automorphism acting primitively (resp. transitively) on the set of points (resp. blocks). We in addition give a list of possible parameters of designs admitting a flag-transitive and point-primitive almost simple automorphism group with socle a finite exceptional simple group.
Contact Stephen Glasby <[email protected]>
Start Fri, 24 Mar 2017 16:00
End Fri, 24 Mar 2017 17:00
Submitted by Stephen Glasby <[email protected]>
Last Updated Mon, 20 Mar 2017 14:58
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