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Restrictions of irreducible  p -restricted representations of algebraic groups of type  A n   to naturally embedded subgroups of type  A 2   are studied. Let  n  &gt; 2 and  ω  = Σ  n  i=1  m i ω i   be the highest weight of the representation considered. The composition factors of such restrictions are determined in the cases where either  n  &gt; 5 and Σ  n  i=1  m i   &lt;  p , or  n  &gt; 3 and  m i   +  m i   +1  +  m i   +2  +  m i   +3  &lt;  p  − 2 for odd  i  with 1 ≤  i  ≤   and  m n−j−   3  +  m n−j−   2  +  m n−j−   1  +  m n−j   &lt;  p  − 2 for even  j  with 0 ≤  j  ≤   . For arbitrary  p -restricted representations some large composition factors are found.

On the Restrictions of Modular Irreducible Representations of Algebraic Groups of Type A n to Naturally Embedded Subgroups of Type A 2