Algebraic Structure Of Riordan Groups

Yuanziyi Zhang, Illinois Wesleyan University

Submission Type

Event

Faculty Advisor

Tian-Xiao He

Expected Graduation Date

2018

Location

Center for Natural Sciences, Illinois Wesleyan University

Start Date

4-21-2018 2:00 PM

End Date

4-21-2018 3:00 PM

Disciplines

Education

Abstract

We discuss the Lie group structure of Riordan groups in both finite and infinite cases. We also construct stabilizers and centralizers of Riordan groups and give their combinatorial interpretations. Particularly, stabilizers and centralizers in Appel, Associated, Bell and Stochastic subgroups are presented.

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Apr 21st, 2:00 PM Apr 21st, 3:00 PM

Algebraic Structure Of Riordan Groups

Center for Natural Sciences, Illinois Wesleyan University

We discuss the Lie group structure of Riordan groups in both finite and infinite cases. We also construct stabilizers and centralizers of Riordan groups and give their combinatorial interpretations. Particularly, stabilizers and centralizers in Appel, Associated, Bell and Stochastic subgroups are presented.