You are not currently logged in.
Access your personal account or get JSTOR access through your library or other institution:
If You Use a Screen ReaderThis content is available through Read Online (Free) program, which relies on page scans. Since scans are not currently available to screen readers, please contact JSTOR User Support for access. We'll provide a PDF copy for your screen reader.
Nilpotent-By-Finite Groups With Isomorphic Finite Quotients
P. F. Pickel
Transactions of the American Mathematical Society
Vol. 183 (Sep., 1973), pp. 313-325
Published by: American Mathematical Society
Stable URL: http://www.jstor.org/stable/1996471
Page Count: 13
Since scans are not currently available to screen readers, please contact JSTOR User Support for access. We'll provide a PDF copy for your screen reader.
Preview not available
Let F(G) denote the set of isomorphism classes of finite homomorphic images of a group G. We say that groups G and H have isomorphic finite quotients if F(G) = F(H). Let N denote the class of finite extensions of finitely generated nilpotent groups. In this paper we show that if G is in N, then the groups H in N for which F(G) = F(H) lie in only finitely many isomorphism classes.
Transactions of the American Mathematical Society © 1973 American Mathematical Society