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SEMINAR: Groups and Combinatorics Seminar: Luke Morgan, 4pm Friday 15 June in Robert Street LT

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Today's date is Friday, March 29, 2024
Groups and Combinatorics Seminar: Luke Morgan, 4pm Friday 15 June in Robert Street LT Other events...
Speaker: Luke Morgan (Univ. of Western Australia)

Title: The Distinguishing Number of Finite Permutation Groups

Time and place: 4pm Friday 15 Jun 2018, Robert Street LT (note unusual venue)

Abstract: The distinguishing number of a permutation group G acting on a set X is the smallest size of a partition of X such that only the identity of G fixes each part of the partition. The symmetric and alternating groups of degree n have distinguishing number n and n-1 respectively. On the other hand, most primitive groups one meets in the wild have distinguishing number two. In fact, apart from the symmetric and alternating groups, the distinguishing number of a primitive group is bounded by an absolute constant. At the recent CMSC retreat, Alice Devillers, Scott Harper and myself looked at a larger class of finite permutation groups, the quasiprimitive and semiprimitive groups. I'll report on what we have found happens in these cases.

Past and future seminars may be found at http://www.maths.uwa.edu.au/~glasby/GroupsAndCombinatoricsSeminar/S18.html

All welcome.
Contact Stephen Glasby <[email protected]>
Start Fri, 15 Jun 2018 16:00
End Fri, 15 Jun 2018 17:00
Submitted by Stephen Glasby <[email protected]>
Last Updated Tue, 12 Jun 2018 10:38
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