The structure of the projective indecomposable modules of $\hat 3 M_ {22}$ in characteristic $2$
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- by W. Lempken and R. Staszewski PDF
- Math. Comp. 62 (1994), 841-850 Request permission
Abstract:
This paper presents the socle series of the projective indecomposable modules for the triple cover $\hat 3{M_{22}}$ in characteristic 2. The results are obtained by computational means; the methods as well as the constructive approach are explained.References
- John J. Cannon, An introduction to the group theory language, Cayley, Computational group theory (Durham, 1982) Academic Press, London, 1984, pp.Β 145β183. MR 760656
- J. H. Conway, R. T. Curtis, S. P. Norton, R. A. Parker, and R. A. Wilson, $\Bbb {ATLAS}$ of finite groups, Oxford University Press, Eynsham, 1985. Maximal subgroups and ordinary characters for simple groups; With computational assistance from J. G. Thackray. MR 827219
- Wolfgang Lempken, A $2$-local characterization of Jankoβs simple group $J_{4}$, J. Algebra 55 (1978), no.Β 2, 403β445. MR 523466, DOI 10.1016/0021-8693(78)90229-6
- R. A. Parker, The computer calculation of modular characters (the meat-axe), Computational group theory (Durham, 1982) Academic Press, London, 1984, pp.Β 267β274. MR 760660 β, A collection of modular characters, Preprint, University of Cambridge, 1989.
- Gerhard J. A. Schneider, Computing with endomorphism rings of modular representations, J. Symbolic Comput. 9 (1990), no.Β 5-6, 607β636. Computational group theory, Part 1. MR 1075427, DOI 10.1016/S0747-7171(08)80078-8
Additional Information
- © Copyright 1994 American Mathematical Society
- Journal: Math. Comp. 62 (1994), 841-850
- MSC: Primary 20C20; Secondary 20C40
- DOI: https://doi.org/10.1090/S0025-5718-1994-1216260-9
- MathSciNet review: 1216260