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Notizie  

Seminario / Isaacs

 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 lecture
by leading researchers (https://sites.google.com/unisa.it/e-igt2020/).

 

TIME: September 24th, 2020 18:00 CEST (UTC+2)

 COFFEE BREAK: The  talk will start at 18:00 CEST.
The conference room will open at 17:45 CEST for a coffee break
- Bring Your Own tea/coffee mug - biscuits appreciated -
and join us for some smalltalk before the event.

 

SPEAKER: I. Martin Isaacs (University of Wisconsin at Madison)

 TITLE: Carter subgroups and characters

 

ABSTRACT: A Carter subgroup is a self-normalizing nilpotent
subgroup, and a theorem of Carter asserts that
 every solvable group contains a unique conjugacy
 class of Carter subgroups.

 Given a solvable group G with Carter subgroup C,
 we construct a family of injective maps from the
 set of linear characters of C into the set Irr(G).
 There are usually many maps in this family, but
 all of them have exactly the same image. This
 common image is thus a canonically determined set
 of irreducible characters of G, and we refer to
 the members of this set as the "head characters"
 of G. They are characterized by their behavior
 with respect to the C-composition series of G.

 Each head character of G has degree dividing
 |G:C|, and each of them restricts irreducibly to
 the nilpotent residual of G. Experiment suggests
 that the head characters of G are exactly those
 irreducible characters that have nonzero values
 on all elements of C, but this remains unproved.

 

The organising committee of the  Ischia Online Group Theory Conference
 (GOThIC) is inviting you to a scheduled Zoom meeting.

 PLEASE NOTE:

 - The TIME OF THE TALK is 18:00 CEST.

 - The Zoom link is NEW.

- 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


23 settembre 2020
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