Involutions in triangular groups

2012/08/28 by Roksana Słowik · 2 citations
Mathematics · Engineering · #Finite Group Theory Research #Advanced Topics in Algebra #graph theory and CDMA systems

paper · doi:10.1080/03081087.2012.716432

Abstract

We describe involutions, i.e. elements of order 2, in the groups T n (K) – of upper triangular matrices of dimension n (n ∈ ℕ), and T ∞(K) – of upper triangular infinite matrices, where K is a field of characteristic different from 2. Using the obtained result, we give a formula for the number of all involutions in T n (K) in the case when K is a finite field.

Cited by

• Involutions on Incidence Algebras of Finite Posets
• Coninvolutions on Upper Triangular Matrix Group over the Ring of\n Gaussian Integers and Quaternions integers modulo p

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• Finite groups with many involutions
• Triangular involutions of the four-dimensional polynomial ring in characteristic two
• Superinvolutions on block-triangular matrix algebras
• Polynomial identities with involution for the algebra of 3 × 3 upper triangular matrices
• Central polynomials with involution for the algebra of 2\× 2 upper\n triangular matrices