In:
Journal of the Australian Mathematical Society, Cambridge University Press (CUP), Vol. 79, No. 2 ( 2005-10), p. 257-276
Abstract:
Suppose that the finite group G acts faithfully and irreducibly on the finite G -module V of characteristic p not dividing |G|. The well-known k ( GV )-problem states that in this situation, if k(G V) is the number of conjugacy classes of the semidirect product GV , then k(GV) ≤ |V|. For p —solvable groups, this is equivalent to Brauer's famous k(B) -problem. In 1996, Robinson and Thompson proved the k(GV) problem for large p . This ultimately led to a complete proof of the k(GV) -problem. In this paper, we present a new proof of the k(G V) -problem for large p .
Type of Medium:
Online Resource
ISSN:
1446-7887
,
1446-8107
DOI:
10.1017/S144678870001048X
Language:
English
Publisher:
Cambridge University Press (CUP)
Publication Date:
2005
detail.hit.zdb_id:
1478743-X
SSG:
17,1
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