Modular representations of the hall-janko group

References

• Alperin , J.L. and Gorenstein , D. . A vanishing theorem for cohomology . Proc. Amer. Math. Soc . Vol. 32 , pp. 87 – 88 .
   Google Scholar
• Benson , D. 1984 . Modular Representation Theory, New Trends and Methods , Berlin : Springer Lecture Notes 1081 .
   Google Scholar
• Benson , D. and Carlson , J.F. 1986 . Nilpotent elements m the Green ring . J. Algebra , 104 : 329 – 357 .
   Web of Science ®Google Scholar
• Conway , J.H. , Curtis , R.T. , Norton , S.P. , Parker , R.A. and Wilson , R.A. 1985 . An Atlas of finite groups , Oxford : Clarendon Press .
   Google Scholar
• Bremner , M.R. , Moody , R.V. and Patera , J. 1985 . “ Tables of Dominant Weight Multiplicities for Representations of Simple Lie Algebras ” . In Monographs in Pure and Applied Mathematics , New York : Marcel Dekker .
   Google Scholar
• Dowd , M. and Sin , P. 1996 . On representations of algebraic groups in characteristic 2 . Communications in Algebra , 24 ( 8 ) : 2597 – 2686 . To appear
   Web of Science ®Google Scholar
• Feit , W. 1982 . The Representation Theory of Finite Groups , Amsterdam : North Holland .
   Google Scholar
• Feit , W. 1984 . Blocks with cyclic defect groups for some sporadic groups . Representation Theory II, groups and orders, Proceedings, Ottawa,Lecture Notes in Mathematics . 1984 . pp. 25 – 63 . Berlin, New york Heidelberg/Tokyo
   Google Scholar
• Hiss , G. and Lux , K. 1988 . The Brauer Characters of the Hall-Janko group . Communications in Algebra , 16 ( 2 ) : 357 – 398 .
   Web of Science ®Google Scholar
• Hiss , G. and Lux , K. 1989 . Brauer TYees of Sporadic Groups , Oxford : Oxford University Press .
   Google Scholar
• Jantzen , J.C. 1987 . Representations of Algebraic Groups , London : Academic Press .
   Google Scholar
• Kondratev , A.S. 1988 . Decomposition numbers of the group J2 . Algebra and Logic , 27 : 333 – 349 .
   Google Scholar
• Kondratev , A.S. 1988 . Decomposition numbers of the groups Ĵ2 and Aut(J2) . Algebra and Logic , 27 : 429 – 444 .
   Google Scholar
• Landrock , P. 1983 . “ Finite Group Algebras and their Modules ” . In London. Math. Soc. Lecture Notes , Cambridge : Cambridge University Press .
   Google Scholar
• Landrock , P. 1978 . The non-principal 2-blocks of the sporadic simple groups . Communications in Algebra , 6 ( 18 ) : 1865 – 1891 .
   Web of Science ®Google Scholar
• Parker , R. 1988 . A collection of modular characters , 6 ( 18 ) Unpublished
   Google Scholar
• Sin , P. 1992 . On the 1-cohomology of the groups G2(2n) . Communications in Algebra , 20 ( 9 ) : 2653 – 2662 .
   Web of Science ®Google Scholar
• Wales , D.B. 1969 . Generators of the Hall-Janko group as a subgroup of G2(4) . J. Algebra , 13 ( 9 ) : 513 – 516 .
   Google Scholar