References
S. Bachmuth, G. Baumslag, J. Dyer andH. Y. Mochizuki, Automorphism groups of two generator metabelian groups. J. London Math. Soc.36, 393–406 (1987).
N.Bourbaki, Éléments de Mathématique XXX, Algébre Commutative, Chapitres 5–6. Paris 1964.
A.Caranti and C. M.Scoppola, A remark on the orders ofp-groups that are automorphism groups. To appear in Boll. Un. Mat. Ital.
C. K. Gupta, IA-automorphisms of two generator metabelian groups. Arch. Math.37 106–112 (1981).
B.Huppert, Endliche Gruppen I. Berlin-Heidelberg-New York 1967.
N.Jacobson, Basic Algebra I. San Francisco 1974; Basic Algebra II. San Francisco 1980.
Yu. V. Kuz'min, Inner endomorphisms of abelian groups, (Russian). Sibirsk. Mat. Zh.16, 736–774 (1975); English translation: Siberian Math. J.16, 563–568 (1975).
G.Szekeres, Metabelian groups with two generators. In: Proc. Internat. Conf. Theory of Groups, Austral. Nat. Univ. Canberra, August 1965, 323–346, New York 1967.
B. A. F.Wehrfritz, Infinitite Linear Groups, Berlin-Heidelberg-New York 1973.
H.Zassenhaus, The Theory of Groups, Second Edition. New York 1958.
Author information
Authors and Affiliations
Additional information
Partially supported by MPI, Italy. Authors are members of CNR-GNSAGA, Italy.
Rights and permissions
About this article
Cite this article
Caranti, A., Scoppola, C.M. Endomorphisms of two-generated metabelian groups that induce the identity modulo the derived subgroup. Arch. Math 56, 218–227 (1991). https://doi.org/10.1007/BF01190208
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF01190208