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Clifford classes for isoclinic groups

โœ Scribed by Alexandre Turull


Publisher
Springer
Year
2005
Tongue
English
Weight
107 KB
Volume
84
Category
Article
ISSN
0003-889X

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In [A. Turull, J. Algebra 235 (2001), 275-314], we calculated the Schur index of each of the irreducible characters of the finite special linear groups. In the present paper, we calculate the Schur index of all the irreducible characters of some overgroups of the special linear groups. The overgroup

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Given a finite group G, a normal subgroup N of G and an irreducible character ฯ‡ of G, the Clifford class of ฯ‡ describes the Clifford theory including Schur indices of ฯ‡ with respect to the normal subgroup N. Assume there is a subgroup U of N and a linear character ฮธ of U with multiplicity 1 in the r