ATLAS: Rudvalis group Ru

Order = 145926144000.
Mult = 2.
Out = 1.

Standard generators

Standard generators of the Rudvalis group Ru are a and b where a is in class 2B, b is in class 4A, and ab has order 13.
Standard generators of the double cover 2Ru are pre-images A and B where A is in class 2B, B is in class +4A, and AB has order 13.

Black box algorithms

To find standard generators for Ru:

Representations

The representations of Ru available are The representations of 2Ru available are

Maximal subgroups

The maximal subgroups of Ru are as follows. (Words for generators of maximal subgroups provided by Peter Walsh.)

Conjugacy class representatives

The following conjugacy class representatives have been computed by Peter Walsh. Click here for program to compute them. The choice of classes among algebraic conjugates is arbitrary, consistent with the ordinary ATLAS. The given choice has been used by Frank Röhr in calculating the 13- and 29-modular characters, but may not be consistent with other GAP tables. A different set of generators for the maximal cyclic subgroups (up to conjugacy) can be obtained by running this program on the standard generators. All conjugacy classes can therefore be obtained as suitable powers of these elements. Problems of algebraic conjugacy are not dealt with in this version.
- Return to main ATLAS page. - Last updated 21.12.99

- R.A.Wilson@bham.ac.uk
- richard@ukonline.co.uk