Group-Based Reduction Schemes for Streaming Applications

<table>Lattice of the subgroups of <svg height="15.11125" id="M553" style="vertical-align:-0.17555pt" version="1.1" viewbox="0 0 48.35125 15.11125" width="48.35125" xmlns="http://www.w3.org/2000/svg">
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<tspan style="font-size: 12.50px; " x="0" y="0">ℤ</tspan>
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<tspan style="font-size: 12.50px; " x="3.4758673" y="0">4</tspan>
<tspan style="font-size: 12.50px; " x="9.7274275" y="0">ℤ</tspan>
</text>
<text transform="matrix(1,0,0,-1,33.294,5.674)">
<tspan style="font-size: 8.75px; " x="0" y="0">2</tspan>
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</svg>. A node labeled with <svg height="11.81" id="M554" style="vertical-align:-0.0pt" version="1.1" viewbox="0 0 15.99875 11.81" width="15.99875" xmlns="http://www.w3.org/2000/svg">
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<text transform="matrix(1,0,0,-1,0.498,0.498)">
<tspan style="font-size: 12.50px; " x="0" y="0">𝐌</tspan>
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</svg> represents group <svg height="15.11125" id="M555" style="vertical-align:-0.17555pt" version="1.1" viewbox="0 0 63.105 15.11125" width="63.105" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,15.11125)">
<text transform="matrix(1,0,0,-1,0.498,0.673)">
<tspan style="font-size: 12.50px; " x="0" y="0">𝐌</tspan>
<tspan style="font-size: 12.50px; " x="11.802945" y="0">ℤ</tspan>
</text>
<text transform="matrix(1,0,0,-1,21.391,5.674)">
<tspan style="font-size: 8.75px; " x="0" y="0">2</tspan>
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<tspan style="font-size: 12.50px; " x="0" y="0">/</tspan>
<tspan style="font-size: 12.50px; " x="3.4758673" y="0">4</tspan>
<tspan style="font-size: 12.50px; " x="9.7274275" y="0">ℤ</tspan>
</text>
<text transform="matrix(1,0,0,-1,45.097,5.674)">
<tspan style="font-size: 8.75px; " x="0" y="0">2</tspan>
</text>
</g>
</svg>.</table>

International Scholarly Research Notices

Group-Based Reduction Schemes for Streaming Applications

Figure 3