Seminario / Evans
The organising committee of the Ischia Online Group Theory Conference
(GOThIC) is inviting you to a scheduled Zoom meeting.
- The TIME OF THE TALK is 17:00 CEST.
- 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
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 to 2021.
In the meantime, we are offering a series of online lectures by leading
TIME: June 18, 2020 17:00 CEST (UTC+2)
COFFEE BREAK: The talk will start at 17:00 CEST. The conference room
will open at 16:45 CEST for a coffee break
- Bring Your Own tea/coffeemug - biscuits appreciated -
and join us for some smalltalk before the event.
SPEAKER: Martin Evans (The University of Alabama)
TITLE: Nilpotent groups in which all proper subgroups
have "much" smaller class
ABSTRACT: Let G be a nilpotent group and suppose that G has distinct
maximal subgroups M and N of class at most n. Then Fitting’s theorem
implies that G has class at most 2n. It is known that if n ≥ 3 is a
positive integer and p is a prime with p ≥ 2n, then there exists a
finite p-group Hn of class 2n in which all maximal subgroups have
class at most n. Such groups Hn are necessarily 2-generator.
In this talk we'll consider some questions like the following: Let G
be a nilpotent group minimally generated by d elements and suppose
that all maximal subgroups of G have class at most n. What is the
largest possible class of G? (The results above give information about
the case d = 2) Our methods involve answering similar questions for
NEXT TALKS: Please check the page
for the schedule of the next talks in the series.