ULethbridge - Number Theory and Combinatorics Seminar: Angsuman Das

  • Date: 11/10/2021
Speaker(s):
Angsuman Das, Presidency University
Location: 

University of Lethbridge

Topic: 

Co-maximal Graphs of Subgroups

Description: 

Associating graphs with groups date back to Arthur Cayley. In this lecture, we will discuss about another graph, called co-maximal subgroup graph Γ(G) introduced by Akbari et al. in [1]. The co-maximal subgroup graph Γ(G) of a group G whose vertices are non-trivial proper subgroups of G and two vertices H and K are adjacent if HK=G. Though the definition allows the possibility of G to be infinite, in our discussion, we will focus mainly on finite groups. We discuss various graph parameters like diameter, connectedness, existence of isolated vertices, girth, bipartiteness etc. Finally, we will highlight some problems on realizability and graph isomorphisms, and some partial solutions to those questions in terms of properties of G. Most of the results presented in the lecture can be found in [1] and [2].

 

 

References:

 

  1. S. Akbari, B. Miraftab and R. Nikandish: Co-maximal Graphs of Subgroups of Groups, Canadian Math Bulletin, Vol. 60(1), pp.12-25, 2017.
  2. A. Das, M. Saha and S. Alkaseasbeh: On Co-Maximal Subgroup Graph of a Group, https://arxiv.org/abs/2103.14284

 

Other Information: 

Event held in-person and online at 2:30pm MT

 

In-person Location: SA 6006

 

Zoom link and password available from the organizers:
Bobby.Miraftab@uleth.ca or Raghu.Pantangi@uleth.ca

 

If possible, please write from a verifiable university email address, and not at the last minute.

 

 

Event page:
https://www.cs.uleth.ca/~nathanng/ntcoseminar/