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.

Keywords

Finite groups, Representations, Characters

Pubblications

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.

Components

Members from the Department of Mathematics
Mariagrazia BIANCHI		info
Emanuele PACIFICI		info
Collaborators
Carlo CASOLO	Università di Firenze	info
Silvio DOLFI	Università di Firenze	info
Marcel HERZOG	Università di Tel Aviv
Pablo SPIGA	Università di Milano Bicocca	info
Lucia SANUS	Università di Valencia	info