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

PLEASE NOTE:

- 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

ABSTRACT:
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.