Young Group theorists workshop: exploring new connections

Contribution List

1. Hello

9/5/22, 9:00 AM

We welcome you all, give some information for the week and thank our sponsors.

2. Cheryl Praeger: Big questions of finite permutation groups – some answered, others open

9/5/22, 9:15 AM

3. Kamilla Rekvenyi: Orbital Diameter of Primitive Permutation Groups

9/5/22, 11:00 AM

4. Getting to know each other

9/5/22, 11:25 AM

5. Melissa Lee: Primitive permutation groups: more problems and open questions

9/5/22, 3:00 PM

6. Hongyi Huang: Base-two primitive permutation groups

9/5/22, 4:00 PM

7. Emily Hall: Almost elusive groups

9/5/22, 5:00 PM

8. Saul Freedman: The intersection graph of a finite simple group

9/5/22, 5:35 PM

9. Rebecca Waldecker: Permutation groups acting under constraints

9/5/22, 6:20 PM

10. Donna Testerman: Linear groups seen from different angles

9/6/22, 9:00 AM

11. Aluna Rizzoli

9/6/22, 10:00 AM

12. Colva Roney-Dougal

9/6/22, 11:15 AM

13. Eileen Pan: Finite groups of Lie type

9/6/22, 12:15 PM

14. Veronica Kelsey: A survey of base size and other numerical invariants

9/6/22, 5:30 PM

15. Luca di Gravina: Möbius function of finite classical groups

9/6/22, 6:20 PM

16. David Szabo: Finite subgroups of transformation groups

9/6/22, 6:45 PM

C. Jordan proved in 1877 that every finite subgroup of $\mathrm{GL}_n(\mathbb{C})$ has a normal abelian subgroup of index bounded by a function of $n$ -- in short, these finite subgroups are `almost' abelian.
It is natural to investigate whether an analogous statement holds for the finite subgroups of natural transformation groups like
the birational automorphism group of an algebraic...

17. Inna Capdeboscq

9/7/22, 9:00 AM

18. Gareth Tracey: The Goldschmidt-Sims conjecture

9/7/22, 10:10 AM

The Classification of Finite Simple Groups has led to substantial progress on deriving sharp order bounds in various natural families of finite groups. One of the most well-known instances of this is Sims' conjecture, which states that the order of a point stabiliser in a primitive permutation group has order bounded in terms of its smallest non-trivial orbit length (this was proved by...

19. Mandi Schaeffer-Fry: Conjecture-Cracking with the Classification: Some Applications, New and Old, of the CFSG

9/7/22, 11:20 AM

20. Noelia Rizo

9/7/22, 3:00 PM

21. Virgilius-Aurelian Minuță: Group graded algebras over G-graded G-algebras

9/7/22, 3:50 PM

22. Margherita Piccolo: Representation growth of semisimple profinite groups

9/7/22, 4:45 PM

23. Sesuai "Yash" Madanha: Average number of zeros of characters of finite groups

9/7/22, 5:10 PM

24. SP Madireddi: The Foulkes module

9/7/22, 8:00 PM

25. Teaser and poster, open end!

9/7/22, 8:25 PM

2 minutes teaser for a poster.

Koushik Paul: Construction of Specht modules

26. Alice Niemeyer

9/8/22, 9:00 AM

27. Daniel Rademacher: Constructive recognition of classical groups

9/8/22, 10:10 AM

28. Rebecca Waldecker: Backtrack methods and canonical images

9/8/22, 11:00 AM

29. Farzaneh Gholaminezhad: The G-graph of the Gyrogroups

9/8/22, 11:50 AM

30. Friedrich Rober: Wreath Product Decompositions

9/8/22, 3:00 PM

31. Mun See Chang: Overview

9/8/22, 3:25 PM

32. Anna Sucker + Lucas Wollenhaupt: Computing the alternating and symmetric square representations of classical groups

9/8/22, 5:00 PM

33. Laura Voggesberger: On algebraic groups, their Lie algebras, and nilpotent pieces

9/8/22, 5:30 PM

34. John McHugh: On the image of the trivial source ring in the ring of virtual characters of a finite group

9/8/22, 6:00 PM

36. Eilidh McKemmie

9/9/22, 9:00 AM

37. Scott Harper. The generating graph: spread and domination

9/9/22, 9:55 AM

The generating graph of a group has as vertices the nontrivial elements of the group and two vertices are adjacent if the elements generate the group. I will discuss the recent classification of the finite groups whose generating graph is connected (joint with Burness and Guralnick) and related work on surprisingly small total dominating sets for generating graphs of simple groups (joint with...

38. Colva Roney-Dougal

9/9/22, 11:10 AM

39. Short feedback round

9/9/22, 12:15 PM

How was the workshop for you?
What did you enjoy, what would you like more of in future workshops?
What did you not like so much?

35. Open problems session

2x2 minutes teaser for open problems, discussion