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Automorphisms of the totally isotropic subspace inclusion graph of unitary spaces
AIMS Mathematics 2026, 11(4): 9819-9844
Published: 13 April 2026
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Let F q 2 be a finite field of q 2 elements, where q is a power of a prime and U n an n-dimensional unitary space over F q 2 . The inclusion graph of the totally isotropic subspace of U n , written as I n ( U n ), is a graph which has all totally isotropic subspaces of U n as its vertices and two distinct, totally isotropic subspaces U 1 , U 2 of U n which are adjacent if and only if U 1 U 2 or U 2 U 1 . In this paper, all automorphisms of I n ( U n ) are determined definitely.

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