The formal translation equation for iteration groups of type II Publications, to be read On the formal first cocycle equation for iteration groups of type II The number of invariant subspaces under a linear operator on finite vector spaces

The number of invariant subspaces under a linear operator on finite vector spaces

Advances in Mathematics of Communications 5, No. 2, 407-416, 2011. Proceedings of ALGEBRAIC COMBINATORICS AND APPLICATIONS (ALCOMA10). DOI 10.3934/amc.2011.5.407

Abstract: Let V be an n-dimensional vector space over the finite field 𝔽q and T a linear operator on V. For each k∈ {1,…,n} we determine the number of k-dimensional T-invariant subspaces of V. Finally, this method is applied for the enumeration of all monomially nonisometric linear (n,k)-codes over 𝔽q.

harald.fripertinger "at" uni-graz.at, October 3, 2024

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