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SEMINAR: Groups and Combinatorics Seminar: Calin Borceanu, 4pm March 08 in Weatherburn LT

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Today's date is Friday, August 07, 2020
Groups and Combinatorics Seminar: Calin Borceanu, 4pm March 08 in Weatherburn LT Other events...
Speaker: Calin Borceanu (UWA)

Title: Searching for partial congruence partitions in groups of order p^8

Time and Place: 4pm Friday 08 Mar 2019, Weatherburn LT

Abstract: A partial congruence partition (or PCP) of a group is defined simply as a set of pairwise disjoint subgroups which pairwise factorise the whole group. This project has focused on finding examples of PCP that are 'large' in the sense that they are close the best known theoretical bounds on the maximum number of subgroups comprising a PCP. In particular, we focused on the non-elementary abelian groups of order 2^8 and 3^8, where no large examples were previously known. These groups, with one exception, were exhaustively searched for large PCP. In this talk I will discuss some of the theoretical bounds with a focus on deriving results that are useful computationally, before moving on to some details of the computational enumeration.

Contact Stephen Glasby <[email protected]>
Start Fri, 08 Mar 2019 16:00
End Fri, 08 Mar 2019 17:00
Submitted by Stephen Glasby <[email protected]>
Last Updated Tue, 05 Mar 2019 12:15
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