## Mathematics, Department of

#### Date of this Version

2000

#### Citation

Published in *Proceedings of the Edinburgh Mathematical Society* 43 (2000), pp 211-217.

doi 10.1017/S0013091500020824

#### Abstract

An old question of Brauer asking how fast numbers of conjugacy classes grow is investigated by considering the least number *c _{n}* of conjugacy classes in a group of order 2

*. The numbers*

^{n}*c*are computed for n ≤ 14 and a lower bound is given for

_{n}*c*

_{15}. It is observed that

*c*grows very slowly except for occasional large jumps corresponding to an increase in coclass of the minimal groups

_{n}*G*. Restricting to groups that are 2-generated or have coclass at most 3 allows us to extend these computations.

_{n}
## Comments

Copyright 2000 Edinburgh Mathematical Society; published by Cambridge University Press. Used by permission.