The main result of this paper is a graph-theoretic necessary and sufficient condition, for a given set of transvections in SL (n, K) (n > 2 and K a finite field of characteristic not 2 or 3), to generate a group isomorphic to SL(m, L), for some m and some subfield L of K.

DI MARTINO, L., Previtali, A., Radina, R. (2005). Sets of transvections generating subgroups isomorphic to special linear groups. COMMUNICATIONS IN ALGEBRA, 33(6), 1663-1691 [10.1081/AGB-200058379].

Sets of transvections generating subgroups isomorphic to special linear groups

DI MARTINO, LINO GIUSEPPE;PREVITALI, ANDREA;
2005

Abstract

The main result of this paper is a graph-theoretic necessary and sufficient condition, for a given set of transvections in SL (n, K) (n > 2 and K a finite field of characteristic not 2 or 3), to generate a group isomorphic to SL(m, L), for some m and some subfield L of K.
Articolo in rivista - Articolo scientifico
digraphs; special linear groups; transvections
English
2005
33
6
1663
1691
none
DI MARTINO, L., Previtali, A., Radina, R. (2005). Sets of transvections generating subgroups isomorphic to special linear groups. COMMUNICATIONS IN ALGEBRA, 33(6), 1663-1691 [10.1081/AGB-200058379].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10281/2258
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