Bulletin of the American Mathematical Society

MathSciNet review: 1567961
Full text of review: PDF   This review is available free of charge.
Book Information:

Author: Gregory Karpilovsky
Title: Induced modules over group algebras
Additional book information: North-Holland Mathematics Studies, vol. 161, North-Holland, Amsterdam, 1990, 520 pp.,\ US$120.50. ISBN 0-444-88414-9.

J. Alperin, The Green correspondence and Brauer’s characterization of characters, Bull. London Math. Soc. 13 (1981), no. 2, 138–140. MR 608098, DOI 10.1112/blms/13.2.138

[2]

-, Local representation theory, Cambridge Univ. Press, Cambridge, 1987.

Charles W. Curtis and Irving Reiner, Methods of representation theory. Vol. I, Pure and Applied Mathematics, John Wiley & Sons, Inc., New York, 1981. With applications to finite groups and orders. MR 632548

Walter Feit, The representation theory of finite groups, North-Holland Mathematical Library, vol. 25, North-Holland Publishing Co., Amsterdam-New York, 1982. MR 661045

P. Landrock, Finite group algebras and their modules, London Mathematical Society Lecture Note Series, vol. 84, Cambridge University Press, Cambridge, 1983. MR 737910, DOI 10.1017/CBO9781107325524

Geoffrey R. Robinson, Some remarks on permutation modules, J. Algebra 118 (1988), no. 1, 46–62. MR 961325, DOI 10.1016/0021-8693(88)90047-6

Klaus Roggenkamp and Leonard Scott, Isomorphisms of $p$-adic group rings, Ann. of Math. (2) 126 (1987), no. 3, 593–647. MR 916720, DOI 10.2307/1971362

Alfred Weiss, Rigidity of $p$-adic $p$-torsion, Ann. of Math. (2) 127 (1988), no. 2, 317–332. MR 932300, DOI 10.2307/2007056

[1]

J. L. Alperin, The Green correspondence and Brauer's characterization of characters, Bull. London Math. Soc. 13 (1981), 138-140. MR 608098 (82e:20008)

[2]

-, Local representation theory, Cambridge Univ. Press, Cambridge, 1987.

[3]

Charles W. Curtis and Irving Reiner, Methods of representation theory, Vol I, Wiley, New York, 1981; Vol. II, Wiley, New York, 1987. MR 632548 (82i:20001)

[4]

W. Feit, The representation theory of finite groups, North-Holland, Amsterdam, 1982. MR 661045 (83g:20001)

[5]

P. Landrock, Finite group algebras and their modules, Cambridge Univ. Press, Cambridge, 1983. MR 737910 (85h:20002)

[6]

G. R. Robinson, Some remarks on permutation modules, J. Algebra 118 (1988), 46-62. MR 961325 (89k:20018)

[7]

K. W. Roggenkamp and L. L. Scott, Isomorphisms of p-adic group rings, Ann. of Math. 126 (1987), 593-647. MR 916720 (89b:20021)

[8]

A. Weiss, Rigidity of p-adic p-torsion, Ann. of Math. 127 (1988), 317-322. MR 932300 (89g:20010)