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Groups whose modular group rings have soluble unit groups

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Group Theory

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 573))

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References

  1. S.A. Amitsur, "Groups with representations of bounded degree II", Illinois J. Math. 5 (1961), 198–205. MR23#A225.

    MathSciNet  MATH  Google Scholar 

  2. E. Artin, Geometric Algebra (Interscience, New York, London, 1957). MR18,553.

    MATH  Google Scholar 

  3. Hyman Bass, Algebraic K-Theory (Benjamin, New York, Amsterdam, 1968). MR40#2736.

    MATH  Google Scholar 

  4. J.M. Bateman, "On the solvability of unit groups of group algebras", Trans. Amer. Math. Soc. 157 (1971), 73–86. MR43#2118.

    Article  MathSciNet  MATH  Google Scholar 

  5. Marshall Hall, Jr. and James K. Senior, The Groups of Order 2n (n ≤6) (Macmillan, New York; Collier-Macmillan, London, 1964). MR29#5889.

    MATH  Google Scholar 

  6. I.M. Isaacs and D.S. Passman, "Groups whose irreducible representations have degrees dividing p e", Illinois J. Math. 8 (1964), 446–457. MR29#3552.

    MathSciNet  MATH  Google Scholar 

  7. Kaoru Motose and Yasushi Ninomiya, "On the solvability of unit groups of group rings", Math. J. Okayama Univ. 15 (1972), 209–214. MR48#397.

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  8. Kaoru Motose and Hisao Tominaga, "Group rings with solvable unit groups", Math. J. Okayama Univ. 15 (1971/72), 37–40. MR46#5423.

    MathSciNet  MATH  Google Scholar 

  9. K.R. Pearson and D.E. Taylor, "Groups subnormal in the units of their modular group rings", Proc. London Math. Soc. (3) (to appear).

    Google Scholar 

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R. A. Bryce J. Cossey M. F. Newman

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© 1977 Springer-Verlag

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Taylor, D.E. (1977). Groups whose modular group rings have soluble unit groups. In: Bryce, R.A., Cossey, J., Newman, M.F. (eds) Group Theory. Lecture Notes in Mathematics, vol 573. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0087816

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  • DOI: https://doi.org/10.1007/BFb0087816

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-08131-9

  • Online ISBN: 978-3-540-37428-2

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