The Infona portal uses cookies, i.e. strings of text saved by a browser on the user's device. The portal can access those files and use them to remember the user's data, such as their chosen settings (screen view, interface language, etc.), or their login data. By using the Infona portal the user accepts automatic saving and using this information for portal operation purposes. More information on the subject can be found in the Privacy Policy and Terms of Service. By closing this window the user confirms that they have read the information on cookie usage, and they accept the privacy policy and the way cookies are used by the portal. You can change the cookie settings in your browser.
A groupGis said to be 2-generated if it can be generated by two suitable elements. In this paper the authors continue the study of two special kinds of 2-generations, namely (l,m,n)-generations andnX-complementary generations, of the sporadic simple groups. The problem is resolved for the groupJ 4 .
An (l,m,n)-generated groupGis a quotient group of the triangle groupT(l,m,n)=〈x,y,z∣x l =y m =z n =xyz=1〉. In this paper the authors continue the study on the (p,q,r)-generations of the sporadic simple groups, where p, q, r are distinct primes. The problem is resolved for the groupsCo 3 .