A note on I A -endomorphisms of two-generated metabelian groups

F. Catino; M. M. Miccoli

Rendiconti del Seminario Matematico della Università di Padova (1996)

  • Volume: 96, page 99-104
  • ISSN: 0041-8994

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Catino, F., and Miccoli, M. M.. "A note on $IA$-endomorphisms of two-generated metabelian groups." Rendiconti del Seminario Matematico della Università di Padova 96 (1996): 99-104. <http://eudml.org/doc/108417>.

@article{Catino1996,
author = {Catino, F., Miccoli, M. M.},
journal = {Rendiconti del Seminario Matematico della Università di Padova},
keywords = {-endomorphisms; metabelian groups; automorphism groups; inner automorphisms},
language = {eng},
pages = {99-104},
publisher = {Seminario Matematico of the University of Padua},
title = {A note on $IA$-endomorphisms of two-generated metabelian groups},
url = {http://eudml.org/doc/108417},
volume = {96},
year = {1996},
}

TY - JOUR
AU - Catino, F.
AU - Miccoli, M. M.
TI - A note on $IA$-endomorphisms of two-generated metabelian groups
JO - Rendiconti del Seminario Matematico della Università di Padova
PY - 1996
PB - Seminario Matematico of the University of Padua
VL - 96
SP - 99
EP - 104
LA - eng
KW - -endomorphisms; metabelian groups; automorphism groups; inner automorphisms
UR - http://eudml.org/doc/108417
ER -

References

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  1. [1] S. Bachmuth, Automorphisms of free metabelian groups, Trans. Amer. Math. Soc., 118 (1965), pp. 93-104. Zbl0131.02101MR180597
  2. [2] S. Bachmuth - G. Baumslag - J. Dyer - H.Y. Mochizuki, Automorphism groups of two generator metabelian groups, J. London Math. Soc., 36 (1987), pp. 393-406. Zbl0638.20022MR918632
  3. [3] A. Caranti - C. M. SCOPPOLA, Endomorphisms of two-generated metabelian groups that induce the identity modulo the derived subgroup, Arch. Math.(Basel), 56 (1991), pp. 218-227. Zbl0693.20038MR1091874
  4. [4] C.K. Gupta, IA-automorphisms of two generator metabelian groups, Arch. Math., 37 (1981), pp. 106-112. Zbl0472.20014MR640795
  5. [5] G. Karpilovsky, Unit Groups of Group Rings, Longman Sci. Techn. (1989). Zbl0687.16010MR1042757
  6. [6] Yu. V. Kuz'min, Inner endomorphisms of abelian groups (Russian), Sibirsk. Mat. Zh., 16 (1975), pp. 736-744; translation in Siberian Math. J., 16 (1975), pp. 563-568. Zbl0349.20024MR404468
  7. [7] H. Laue, On group automorphisms which centralize the factor group by an abelian normal subgroup, J. Algebra, 96 (1985), pp. 532-543. Zbl0573.20028MR810544
  8. [8] F. Menegazzo, Automorphisms of p-groups with cyclic commutator subgroup, Rend. Sem. Mat. Univ. Padova, 90 (1993), pp. 81-101. Zbl0824.20025MR1257134
  9. [9] B.A.F. Wehrfritz, Infinite Linear Group, Springer-Verlag, Berlin (1973). Zbl0261.20038MR335656

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