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Groups and Representations  

Our main research field is the theory of finite groups. In particular, we are interested in representations and characters (both ordinary and Brauer), the interplay between the group structure and certain invariants associated with representations. We also investigate questions concerning conjugacy classes and, more generally, orbits in group actions on sets.


Finite groups, Representations, Characters


M. Bianchi, M. Herzog, E. Pacifici, G. Saffirio, On the regularity of a graph related to conjugacy classes of groups, European J. Combin. 33 (2012), 1402--1407.

C. Casolo, S. Dolfi, E. Pacifici, L. Sanus, Groups whose prime graph on conjugacy class sizes has few complete vertices, J. Algebra 364 (2012), 1--12.

S. Dolfi, E. Pacifici, Zeros of Brauer characters and linear actions of finite groups, J. Algebra 340 (2011), 104--113.

S. Dolfi, E. Pacifici, L. Sanus, P. Spiga, On the vanishing prime graph of finite groups, J. London Math. Soc. 82 (2010), 167--183.

M. Bianchi, D. Chillag, M.L. Lewis, E. Pacifici, Character degree graphs that are complete graphs, Proc. Amer. Math. Soc. 135 (2007), 671--676.

Funded Projects related to the Research Theme

PRIN 2009: Groups theory and applications.


Members from the Department of Mathematics
Mariagrazia BIANCHI       info
Emanuele PACIFICI    info
Carlo CASOLOUniversità di Firenze   info
Silvio DOLFIUniversità di Firenze   info
Marcel HERZOGUniversità di Tel Aviv 
Pablo SPIGAUniversità di Milano Bicocca   info
Lucia SANUSUniversità di Valencia




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