Ryan Vinroot

activity

20062018

most citedA factorization result for classical and similitude groups

8 citations · 16 across the 10 of their papers we have counts for

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9 papers · 1 filter

math.RT2018

Totally orthogonal finite simple groups

C. Ryan Vinroot

We prove that if $G$ is a finite simple group, then all irreducible complex representations of $G$ by be realized over the real numbers if and only if every element of $G$ may be w…

math.RT2018

Galois group action and Jordan decomposition of characters of finite reductive groups with connected center

Bhama Srinivasan, C. Ryan Vinroot

Let $G$ be a connected reductive group with connected center defined over $F_{q}$ , with Frobenius morphism F. Given an irreducible complex character $χ$ of $\mathbf…

math.RT2018★ 5 cited

Fields of Character Values for Finite Special Unitary Groups

A. A. Schaeffer Fry, C. Ryan Vinroot

Turull has described the fields of values for characters of $S L_{n} (q)$ in terms of the parametrization of the characters of $G L_{n} (q)$ . In this article, we extend these results to th…

math.RT2017

Real representations of finite symplectic groups over fields of characteristic two

C. Ryan Vinroot

We prove that when $q$ is a power of $2$ , every complex irreducible representation of $Sp (2 n, F_{q})$ may be defined over the real numbers, that is, all Frobenius-S…

math.RT2016★ 8 cited

A factorization result for classical and similitude groups

Alan Roche, C. Ryan Vinroot

For most classical and similitude groups, we show that each element can be written as a product of two transformations that a) preserve or almost preserve the underlying form and b…

math.RT2009

Semisimple symplectic characters of finite unitary groups

C. Ryan Vinroot

Let $G = U (2 m, F_{q^{2}})$ be the finite unitary group, with $q$ the power of an odd prime $p$ . We prove that the number of irreducible complex characters of $G$ with…