TOPIC: GOThIC - Ischia Online Group Theory Conference
The Ischia Group Theory 2020 Conference
(http://www.dipmat2.unisa.it/ischiagrouptheory/) was planned
for 30 March - 4 April 2020. It has now been postponed.
In the meantime, we are offering a series of online lectures
by leading researchers (https://sites.google.com/unisa.it/e-igt2020/).
TIME: November 5th, 2020 17:00 CET (UTC+1)
COFFEE BREAK: The talk will start at 17:00 CET.
The conference room will open at 16:45 CET for a coffee break
- Bring Your Own tea/coffee mug - biscuits appreciated -
and join us for some smalltalk before the event.
SPEAKER: Derek J S Robinson (University of Illinois at Urbana-Champaign)
TITLE: The seriality problem for Sylow-permutable subgroups in locally finite groups
- The TIME OF THE TALK is 17:00 CET = UTC + 1.
- You are welcome to share the Zoom link with other interested
parties, but PLEASE DO NOT POST THE LINK PUBLICLY.
- When joining, please MAKE SURE THAT
YOUR NICKNAME IS YOUR NAME AND SURNAME, or close to it,
so that the organisers can recognise you and let you in
A subgroup H of a group G is said to be weakly Sylow permutable in G if HP=PH for all Sylow subgroups P of G and all primes p dividing orders of elements of H. Otto Kegel proved that if G is finite, then H is subnormal in G. This does not hold for infinite groups. The Seriality Problem is whether Kegel’s theorem can be extended to locally finite groups if “subnormal” is replaced by “serial”. I will discuss the background to the problem and recent progress towards its solution.