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# Notes on the hidden subgroup problem on some semi-direct product groupsself.__wrap_n=self.__wrap_n||(self.CSS&&CSS.supports("text-wrap","balance")?1:2);self.__wrap_b=(e,t,r)=>{let n=(r=r||document.querySelector([data-br="${e}"])).parentElement,a=e=>r.style.maxWidth=e+"px";r.style.maxWidth="";let s=n.clientWidth,i=n.clientHeight,l=s/2-.25,o=s+.5,u;if(s){for(a(l),l=Math.max(r.scrollWidth,l);l+1<o;)a(u=Math.round((l+o)/2)),n.clientHeight===i?o=u:l=u;a(o*t+s*(1-t))}r.__wrap_o||"undefined"!=typeof ResizeObserver&&(r.__wrap_o=new ResizeObserver(()=>{self.__wrap_b(0,+r.dataset.brr,r)})).observe(n)};self.__wrap_n!=1&&self.__wrap_b(":R12quuultfautta:",1) We consider the hidden subgroup problem on the semi-direct product of cyclic groups $\Z_{N}\rtimes\Z_{p}$ with some restriction on $N$ and $p$. By using the homomorphic properties, we present a class of semi-direct product groups in which the structures of subgroups can be easily classified. Furthermore, we show that there exists an efficient quantum algorithm for the hidden subgroup problem on the class. Simplify Published on April 24, 2006 Copy BibTeX Loading... Summary There is no AI-powered summary yet, because we do not have a budget to generate summaries for all articles. 1. Buy subscription We will thank you for helping thousands of people to save their time at the top of the generated summary. If you buy our subscription, you will be able to summarize multiple articles. Pay$8
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