SEMINAR: Groups and Combinatorics Seminar: Luke Morgan, 4pm Friday 15 June in Robert Street LT
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Groups and Combinatorics Seminar: Luke Morgan, 4pm Friday 15 June in Robert Street LT |
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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]>
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Start |
Fri, 15 Jun 2018 16:00
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End |
Fri, 15 Jun 2018 17:00
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Submitted by |
Stephen Glasby <[email protected]>
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Last Updated |
Tue, 12 Jun 2018 10:38
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