Representation Theory of Finite Groups, Group Algebras, Computational and Combinatorial Methods in Group Theory

” Published:

1. R. K. Choudhary and S. K. Prajapati, “Rational Representations and Rational Group Algebra of VZ p-groups”, Journal of the Australian Mathematical Society 118(1) (2025), 1–30.

2. R. K. Choudhary and S. K. Prajapati, “Rational Group Algebras of Camina p-groups”, Archiv der Mathematik (2025), accepted.

3. R. K. Choudhary and S. K. Prajapati, “A Combinatorial Formula for the Wedderburn Decom
position of Rational Group Algebras of Split Metacyclic p-groups”, Journal of Algebra and Its
Applications (2026), 2650068 (17 pages).

Communicated:

4. R. K. Choudhary and S. K. Prajapati, “A Combinatorial Formula for the Wedderburn Decom
position of Rational Group Algebras and the Rational Representations of Ordinary Metacyclic p-groups”, arXiv.

5. R. K. Choudhary and S. K. Prajapati, “On Matrix Representations of Groups of Order p5 over Q”, arXiv.”

“Attended and Presented:

1) 38th Annual Conference of the Ramanujan Mathematical Society (Dec 22–24, 2023), IIT Guwahati

2) Combinatorial Methods in Enumerative Algebra Program (Dec 2–13, 2024), ICTS, TIFR, Bengaluru

3) Advances in Group Theory and Applications (June 23–28, 2025), University of Naples Federico II, Napoli, Italy

4) Recent Developments in Group Theory (July 7–11, 2025), IIT Bhubaneswar

Attended:

5) AIS–Representation Theory (June 20–July 9, 2022), CMI, Chennai

6) Conference on Group Theory and Related Topics (Feb 27–Mar 4, 2023), NISER, Bhubaneswar

7) Workshop on Group Theory and Around (Dec 14–20, 2023), HRI, Prayagraj

8) Representation Theory Days (in honor of George Lusztig) (Nov 9–11, 2024), MIT, Cambridge, USA (online)

9) Conference on “Geometry and Topology” in the honor of Prof. M. S. Raghunathan (August 11–12, 2025), IMA, Bhubaneswar
”