Young Group theorists workshop: exploring new connections

Contribution List

1. Hello

05/09/2022, 09:00

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

05/09/2022, 09:15

3. Kamilla Rekvenyi: Orbital Diameter of Primitive Permutation Groups

05/09/2022, 11:00

4. Getting to know each other

05/09/2022, 11:25

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

05/09/2022, 15:00

6. Hongyi Huang: Base-two primitive permutation groups

05/09/2022, 16:00

7. Emily Hall: Almost elusive groups

05/09/2022, 17:00

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

05/09/2022, 17:35

9. Rebecca Waldecker: Permutation groups acting under constraints

05/09/2022, 18:20

10. Donna Testerman: Linear groups seen from different angles

06/09/2022, 09:00

11. Aluna Rizzoli

06/09/2022, 10:00

12. Colva Roney-Dougal

06/09/2022, 11:15

13. Eileen Pan: Finite groups of Lie type

06/09/2022, 12:15

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

06/09/2022, 17:30

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

06/09/2022, 18:20

16. David Szabo: Finite subgroups of transformation groups

06/09/2022, 18:45

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

07/09/2022, 09:00

18. Gareth Tracey: The Goldschmidt-Sims conjecture

07/09/2022, 10:10

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

07/09/2022, 11:20

20. Noelia Rizo

07/09/2022, 15:00

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

07/09/2022, 15:50

22. Margherita Piccolo: Representation growth of semisimple profinite groups

07/09/2022, 16:45

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

07/09/2022, 17:10

24. SP Madireddi: The Foulkes module

07/09/2022, 20:00

25. Teaser and poster, open end!

07/09/2022, 20:25

2 minutes teaser for a poster.

Koushik Paul: Construction of Specht modules

26. Alice Niemeyer

08/09/2022, 09:00

27. Daniel Rademacher: Constructive recognition of classical groups

08/09/2022, 10:10

28. Rebecca Waldecker: Backtrack methods and canonical images

08/09/2022, 11:00

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

08/09/2022, 11:50

30. Friedrich Rober: Wreath Product Decompositions

08/09/2022, 15:00

31. Mun See Chang: Overview

08/09/2022, 15:25

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

08/09/2022, 17:00

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

08/09/2022, 17:30

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

08/09/2022, 18:00

36. Eilidh McKemmie

09/09/2022, 09:00

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

09/09/2022, 09:55

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

09/09/2022, 11:10

39. Short feedback round

09/09/2022, 12:15

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