Geodesic
On the kernels of representations of finite groups II
Glasgow mathematical journal, Tome 32 (1990) no. 3, pp. 341-347

Voir la notice de l'article provenant de la source Cambridge University Press

About fifteen years ago I. M. Isaacs and S. D. Smith [9] gave several character-theoretic characterizations of finite p-solvable groups G with p-length one, where p is a prime number. They proved that for a finite group G with a Sylow p-subgroup P, the following four conditions (a)–(d) are equivalent. 
Koshitani, Shigeo. On the kernels of representations of finite groups II. Glasgow mathematical journal, Tome 32 (1990) no. 3, pp. 341-347. doi: 10.1017/S0017089500009423
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[1] 1.Alperin, J. L., Weights for finite groups, in The Arcata Conference on Representations of Finite Groups, Proc. Sympos. Pure Math. 47 (Part 1) (1987), 369–379. Google Scholar | DOI

[2] 2.Brauer, R., Some applications of the theory of blocks of characters of finite groups IV, J. Algebra 17 (1971), 489–521. Google Scholar | DOI

[3] 3.Broué, M. and Puig, L., A Frobenius theorem for blocks, Invent. Math. 56 (1980), 117–128. Google Scholar | DOI

[4] 4.Curtis, C. W. and Reiner, I., Methods of representation theory vol. II (Wiley-Interscience, 1987). Google Scholar

[5] 5.Dornhoff, L., Group representation theory (Dekker, 1972). Google Scholar

[6] 6.Feit, W., The representation theory of finite groups (North-Holland, 1982). Google Scholar

[7] 7.Hamernik, W. and Michler, G. O., On vertices of simple modules in p-solvable groups, Mitt. Math. Sem. Giessen 121 (1976), 147–162. Google Scholar

[8] 8.Isaacs, I. M., Character theory of finite groups (Academic Press, 1976). Google Scholar

[9] 9.Isaacs, I. M. and Smith, S. D., A note on groups of p-length 1, J. Algebra 38 (1976), 531–535. Google Scholar | DOI

[10] 10.Knörr, R., Blocks, , vertices and normal subgroups, Math. Z. 148 (1976), 53–60. Google Scholar | DOI

[11] 11.Koshitani, S., On the kernels of representations of finite groups, Glasgow Math. J. 22 (1981), 151–154. Google Scholar | DOI

[12] 12.Michler, G. O., The kernel of a block of a group algebra, Proc. Amer. Math. Soc. 37 (1973), 47–49. Google Scholar | DOI

[13] 13.Morita, K., On group rings over a modular field which possess radicals expressible as principal ideals, Sci. Rep. Tokyo Bunrika Daigaku. Sect. A 4 (1951), 177–194. Google Scholar

[14] 14.Motose, K. and Ninomiya, Y., On the subgroups H of a group G such that J(KH)KG ⊃ J(KG), Math. J. Okayama Univ. 17 (1975), 171–176. Google Scholar

[15] 15.Okuyama, T., p-radical groups are p-solvable, Osaka J. Math. 23 (1986), 467–469. Google Scholar

[16] 16.Pahlings, H., Groups with faithful blocks, Proc. Amer. Math. Soc. 51 (1975), 37–40. Google Scholar | DOI

[17] 17.Pahlings, H., Normal p-complements and irreducible characters, Math. Z. 154 (1977), 243–246. Google Scholar | DOI

[18] 18.Willems, W., On the projectives of a group algebra, Math. Z. 171 (1980), 163–174. Google Scholar | DOI

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