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The linear groups of small degree over the field of order 2. (Russian) Zbl 0617.20022
The author gives a complete list of the irreducible subgroups H of the group $$GL_{10}(2)$$ provided all simple factors of H are known simple groups. In particular the list contains the following simple groups: $$L_ 5(4)$$, $$U_ 5(2)$$, $$L_ 2(11)$$, $$L_ 2(32)$$, $$L_ 5(2)$$, $$\Omega^{\mp}_{10}(2)$$, $$Sp_{10}(2)$$, $$M_{11}$$, $$M_{12}$$, $$M_{22}.$$
Remark. Kleidman’s thesis (Cambridge Univ., 1986) contains a list of maximal subgroups of $$SL_ n(q)$$ (n$$\leq 11)$$ for all q.
Reviewer: A.Zalesskij

##### MSC:
 20G40 Linear algebraic groups over finite fields 20D05 Finite simple groups and their classification 20D30 Series and lattices of subgroups
##### Keywords:
irreducible subgroups; simple groups; maximal subgroups
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