Infinite soluble groups with no outer automorphisms

Derek J. S. Robinson

Rendiconti del Seminario Matematico della Università di Padova (1980)

  • Volume: 62, page 281-294
  • ISSN: 0041-8994

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Robinson, Derek J. S.. "Infinite soluble groups with no outer automorphisms." Rendiconti del Seminario Matematico della Università di Padova 62 (1980): 281-294. <http://eudml.org/doc/107753>.

@article{Robinson1980,
author = {Robinson, Derek J. S.},
journal = {Rendiconti del Seminario Matematico della Università di Padova},
keywords = {outer automorphism group; complete groups; infinite soluble groups of finite total rank; nilpotent group; metanilpotent complete groups; Carter subgroups; infinite supersoluble groups; polycyclic groups},
language = {eng},
pages = {281-294},
publisher = {Seminario Matematico of the University of Padua},
title = {Infinite soluble groups with no outer automorphisms},
url = {http://eudml.org/doc/107753},
volume = {62},
year = {1980},
}

TY - JOUR
AU - Robinson, Derek J. S.
TI - Infinite soluble groups with no outer automorphisms
JO - Rendiconti del Seminario Matematico della Università di Padova
PY - 1980
PB - Seminario Matematico of the University of Padua
VL - 62
SP - 281
EP - 294
LA - eng
KW - outer automorphism group; complete groups; infinite soluble groups of finite total rank; nilpotent group; metanilpotent complete groups; Carter subgroups; infinite supersoluble groups; polycyclic groups
UR - http://eudml.org/doc/107753
ER -

References

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  3. [3] T.M. Gagen, Some finite solvable groups with no outer automorphisms, J. Algebra to appear. Zbl0436.20014MR578796
  4. [4] T.M. Gagen - D. J. S. ROBINSON, Finite metabelian groups with no outer autorrzorphisms, Arch. Math. (Basel), 32 (1979), pp. 417-423 Zbl0401.20011MR547361
  5. [5] W. Gaschütz, Kohomologische Trivialitäten und äußereAutomorphismen von p-Gruppen, Math. Z., 88 (1965), pp. 432-433. Zbl0199.06302MR195941
  6. [6] K.W. Gruenberg, The upper central series in soluble groups, Ill. J. Math., 5 (1961), pp. 436-466. Zbl0244.20028MR136657
  7. [7] K.W. Gruenberg, Cohomological methods in group theory, Lecture Notes in Mathematics, Vol. 143, Springer, Berlin, 1970. Zbl0205.32701MR279200
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  10. [10] M.V. Horo, On complete groups of odd order, Algebra i Logika, 13 (1974), pp. 63-76; Algebra and Logic, 13 (1974), pp. 34-40. Zbl0299.20016MR382440
  11. [11] B. Huppert, Endliche Gruppen I, Springer, Berlin, 1967. Zbl0217.07201MR224703
  12. [12] G.A. Miller, The transformations of a regular group into its conjoint, Bull. Amer. Math. Soc., 32 (1926), pp. 631-634. Zbl52.0115.01JFM52.0115.01
  13. [13] D.J.S. Robinson, Finiteness conditions and generalized soluble groups, Springer, Berlin, 1972. Zbl0243.20032
  14. [14] D.J.S. Robinson, The vanishing of certain homology and cohomology groups, J. Pure Appl. Algebra, 7 (1976), pp. 145-167. Zbl0329.20032MR404478
  15. [15] P. Schmid, Normal p-subgroups in the group of outer autmorphisms of a finite p-group, Math. Z., 147 (1976), pp. 271-277. Zbl0307.20016MR419602
  16. [16] U. Stammbach, Homology in group theory, Lecture Notes in Mathematics, Vol. 359, Springer, Berlin, 1973. Zbl0272.20049MR382477
  17. [17] C. Wells, Automorphisms of group extensions, Trans. Amer. Math. Soc., 155 (1971), pp. 189-193. Zbl0221.20054MR272898

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