Wednesday

16

October 2024

2:30 PM IST
Location

Room 208, School of Arts and Sciences
Central Campus

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z-Classes in Alternating Groups

Mathematical and Physical Sciences Divisional Seminar Series
Dilpreet Kaur, Speaker at Ahmedabad University

Dilpreet Kaur

Associate Professor
Indian Institute of Technology Jodhpur
Speaker


Let G be a group. Two elements of group G are said to be z-conjugate if their centralizers are conjugate subgroups of G. This defines an equivalence relation on group G and these equivalence classes are called z-classes. In this talk, we will discuss the z-classes of the Alternating group and their connection with rational conjugacy classes of the same group.

Speaker

Dilpreet Kaur

Dilpreet Kaur is an Associate Professor at Indian Institute of Technology Jodhpur. Before joining IIT Jodhpur, she was a research fellow at Indian Institute of Science Education and Research Pune. She received her doctoral degree from  Indian Institute of Science Education and Research Mohali in 2015. Her fields of interest include Group Theory, Representation Theory of finite groups, and Quandle Rings.