[Tex/LaTex] limits to \oplus not working and double ended arrow equation

arrowsmath-modemath-operators

I am having an equation which having \oplus with limits, but \limits for \oplus gives error and there is another critical equation with double ended arrow. can anyone please help me to key this equation.
enter image description here

Best Answer

There is a larger \bigoplus that acts as operator. Or \oplus can be wrapped in \mathop:

\documentclass{article}
\usepackage{amsmath}
\begin{document}
\[\bigoplus_{\substack{\rho\in g,\\\rho \neq \rho_0}}\]       
\[\mathop{\oplus}_{\substack{\rho\in g,\\\rho \neq \rho_0}}\]
\end{document}

Result