Mathematics Colloquium: Luise-Charlotte Kappe (Binghamton University)

Friday, April 7th 2017
2pm - 3pm
Jones Hall, Room 301
200 Ukrop Way
Williamsburg, VA 23185
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Luise-Charlotte KappeLuise-Charlotte Kappe
Summary

Title: Finite coverings: a journey through groups, loops, rings, and semigroups

Full Description

Abstract: A group is said to be covered by a collection of proper subgroups if each element of the group belongs to at least one subgroup in the collection: the collection of subgroups is called a covering of the group. If the set of subgroups is finite, we say the group has a finite covering. Many questions raised in the context of finite coverings of groups, such as conditions for a group to have a finite covering by abelian subgroups or determining the minimal number of subgroups needed to cover the group, make sense in other algebraic structures too.

In my talk I will report on my journeys through groups, loops, rings and semigroups, on what I discovered there about finite coverings together with several fellow travelers and on some discoveries which might still lie ahead.

Contact
Eric Swartz
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