Decomposition numbers of the groups \(\hat{\mathcal J}_ 2\) and \(\text{Aut}(\mathcal J_ 2)\). (English. Russian original) Zbl 0687.20008

Algebra Logic 27, No. 6, 429-444 (1988); translation from Algebra Logika 27, No. 6, 690-710 (1988).
For the covering group \(\hat J_ 2\) and the automorphism group \(Aut(J_ 2)\) of the Janko simple group \(J_ 2\) are determined the decomposition numbers for all primes p.
Reviewer: Z.Janko


20C20 Modular representations and characters
20D08 Simple groups: sporadic groups
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[1] A. S. Kondrat’ev, ”Decomposition numbers of the group ,” Algebra Logika,27, No. 5, 535–561 (1988).
[2] J. H. Conway, R. T. Curtis, S. P. Norton, R. A. Parker, and R. A. Wilson, Atlas of Finite Groups, Clarendon Press, Oxford (1985). · Zbl 0568.20001
[3] W. Feit, ”Blocks with cyclic defect groups for some sporadic groups,” Carleton-Ottawa Math. Lect. Notes Ser., No. 2, 12/1–12/40 (1984). · Zbl 0568.20014
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