Let q be a p-power where p is a fixed prime. In this paper, we look at the p-power maps on unitriangular group U(n,q) and triangular group T(n,q). In the spirit of Borel dominance theorem for algebraic groups, we show that the image of this map contains large size conjugacy classes. For the triangular group we give a recursive formula to count the image size.

p-power conjugacy classes in U(n,q) and T(n,q) / Dolfi, s. - In: JOURNAL OF ALGEBRA AND ITS APPLICATIONS. - ISSN 0219-4988. - STAMPA. - (In corso di stampa), pp. 0-0. [10.1142/S0219498821501218]

p-power conjugacy classes in U(n,q) and T(n,q)

Dolfi, s
In corso di stampa

Abstract

Let q be a p-power where p is a fixed prime. In this paper, we look at the p-power maps on unitriangular group U(n,q) and triangular group T(n,q). In the spirit of Borel dominance theorem for algebraic groups, we show that the image of this map contains large size conjugacy classes. For the triangular group we give a recursive formula to count the image size.
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Dolfi, s
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/2158/1203630
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