} Balanced teams and groups. .FeaturedPost .post-summary h3 { .sidebar .widget img { } opacity:.7; margin:0; }

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background: #36becc !important; .cycle-slideshow ul{width:100%;height:100%;height:100vh;padding:0} color:#343434; margin: 0 auto; Ask MetaFilter is where thousands of life's little questions are answered. #footer-3 #mc_embed_signup { Your explanation is correct. text-transform: uppercase; font: normal bold 12px 'Karla', sans-serif; var showpostsummary_gal=true; margin-bottom: 0; Simply download the app to get started. The Random Student Generator will help you quickly group your class list into groups (2-20 groups!). /* Contact Form width: 100%; float: left; #LinkList104.widget h2 { .slicknav_menu { text-transform: uppercase; } padding: 13px 0;

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padding-bottom: 10px; font-size: 30px; If your cyclic group has order $n$, I claim that there will be one generator for every number between $1$ and $n-1$ (inclusive) that is relatively prime to $n$: in other words, there are $\varphi(n)$ generators, where $\varphi$ is Euler's totient function. display: block; By submitting anonymous preferences,

Consider gender as a factor during group generation. } .footer-instagram-social #mc_embed_signup { text-decoration:none;
.slide-container { color: #343434; Select a gender for your participants and get balanced groups. opacity:1;

.AdSense{overflow:hidden} Add student names to the rectangles and then click and drag them to where they need to go! border-top: 1px solid #f2f2f2; input[type=submit], 5,137 6 6 gold badges 40 40 silver badges 89 89 bronze badges. padding: 0;

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background: #7c347e; } nav ul li { color: #7c347e; } } margin-bottom: 20px; -ms-transform: translate(-50%, 50%); font: normal bold 12px 'Karla', sans-serif; display: block; If you have a generator $g\in G$ (for instance: the image of the class of $1$ under an isomorphism $\mathbb Z/n\mathbb Z\to G$), then $g^i\in G$ is a generator if and only if $(n,i)=1$. .georgialou_grids_img:hover { } .footer-instagram-social .widget { } margin-right: 10px; padding: 0 20px; width: 240px; padding: 10px 0; Are there proposals for preserving ballot secrecy when a candidate scores 100% in a very small polling station? .georgialou_grid_comments a { .post-body h3,

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} text-transform: uppercase; top: 100%; display: block; For large group orders it is no suitable to explicitly evaluate all powers of an optional generator to prove the element's order. #shop-my .PopularPosts li {

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The teacher can then generate groups by selecting the max size of the groups or the total number of groups. .georgialou_grid_location a,

} in a group they do not work well with, every time groups are formed. .contact-form-widget input:focus, .contact-form-widget textarea:focus { Hence there are $\phi(n)$ generators, where $\phi$ denotes the Euler totient. } --------------------------------------------------*/ color: #36becc;

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