SEMINAR: Groups and Combinatorics Seminar: Calin Borceanu, 4pm March 08 in Weatherburn LT
|Groups and Combinatorics Seminar: Calin Borceanu, 4pm March 08 in Weatherburn LT
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.
Fri, 08 Mar 2019 16:00
Fri, 08 Mar 2019 17:00
Stephen Glasby <[email protected]>
Tue, 05 Mar 2019 12:15
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