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SUMMARY:Silvio Dolfi (Università degli Studi di Firenze (Italy))
DTSTART:20210316T144000Z
DTEND:20210316T151500Z
DTSTAMP:20260423T004133Z
UID:FGV/16
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/FGV/16/">$p$
 -constant characters in finite groups</a>\nby Silvio Dolfi (Università de
 gli Studi di Firenze (Italy)) as part of Finite Groups in Valencia\n\n\nAb
 stract\nLet $p$ be a prime number\; an irreducible character of a finite g
 roup $G$ is called $p$-constant if it takes a constant value on all the el
 ements of G whose order is divisible by $p$ ($p$-singular elements). Irred
 ucible characters of $p$-defect zero are\, by a classical result or R. Bra
 uer\, an important instance of this class of characters: they take value z
 ero on every $p$-singular element.  I will present some results on faithfu
 l $p$-constant characters of 'positive defect'\; in particular\, a charact
 erization of  the finite $p$-solvable groups having a character of this ty
 pe (joint work with E. Pacifici and L. Sanus).\n
LOCATION:https://researchseminars.org/talk/FGV/16/
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