# New computations in the Monster

@inproceedings{Linton2006NewCI, title={New computations in the Monster}, author={Steve Linton and Eamonn A. O'Brien}, year={2006} }

We survey recent computational results concerning the Monster sporadic simple group. The main results are: progress towards a complete classification of the maximal subgroups, including showing that L2(27) is not a subgroup; showing that the 196882-dimensional module over GF (2) supports a quadratic form; a complete set of explicit conjugacy class representatives; small representations of most of the maximal subgroups; and a partial classification of the ‘nets’ (in the sense of Norton).

## 4 Citations

Solvable Subgroups of Maximal Order in Sporadic Simple Groups

- Mathematics
- 2012

We determine the orders of solvable subgroups of maximal orders in sporadic simple groups and their automorphism groups, using the information in the Atlas of Finite Groups [CCN + 85] and the GAP…

GAP Computations Concerning Hamiltonian Cycles in the Generating Graphs of Finite Groups

- Mathematics
- 2009

This is a collection of examples showing how the GAP system can be used to compute information about the generating graphs of finite groups. It includes all examples that were needed for the…

Group Theory Permutation Groups

- 2017

Finite Groups 20Dxx [1] A. Adem, J. F. Carlson, D. B. Karagueuzian, and R. James Milgram, The cohomology of the Sylow 2-subgroup of the Higman-Sims group, J. Pure Appl. Algebra 164 (2001), no. 3,…

Impartial avoidance games for generating finite groups

- Mathematics
- 2016

We study an impartial avoidance game introduced by Anderson and Harary. The game is played by two players who alternately select previously unselected elements of a finite group. The first player who…

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