# 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.

## 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 |