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Conjugacy Classes and the Normal Complement Problem in Group Algebras

Presented by: 
Surinder Kaur
Date: 
Friday 10th January 2020 - 15:00 to 15:30
Venue: 
INI Seminar Room 1
Abstract: 
The study of structure of the unit group is one of the fundamental problems in theory of group algebras. In this direction, we mainly address the conjugacy class problem and the normal complement problem in certain classes of modular group algebras. First, we discuss the conjugacy class problem in the unit group of modular group algebras of some finite p-groups. Then we establish the role conjugacy classes play in resolving the classical normal complement problem in modular group algebras of some classes of groups whose order is divisible by two primes.
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University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons