Abstract
In this paper we show there is exactly one conjugacy class of subgroups ofE 6(C) isomorphic toL(2, 13) with each of the characters 13+14 and 1+12+14 on a 27-dimensional module forE 6. The one with character 13+14 is a subgroup of the irreducible closed subgroup of typeG 2. There is a unique conjugacy class for each of the three algebraic conjugate characters 1+12+14. Our arguments have applications to fields of characteristic prime to |L(2, 13)|.
Original language | English |
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Pages (from-to) | 45-86 |
Journal | Israel Journal of Mathematics |
Volume | 82 |
DOIs | |
Publication status | Published - 1993 |