Automorphisms of p -groups of maximal class

A. Caranti; S. Mattarei

Rendiconti del Seminario Matematico della Università di Padova (2006)

  • Volume: 115, page 189-198
  • ISSN: 0041-8994

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Caranti, A., and Mattarei, S.. "Automorphisms of $p$-groups of maximal class." Rendiconti del Seminario Matematico della Università di Padova 115 (2006): 189-198. <http://eudml.org/doc/108675>.

@article{Caranti2006,
author = {Caranti, A., Mattarei, S.},
journal = {Rendiconti del Seminario Matematico della Università di Padova},
keywords = {automorphism groups; -groups of maximal class; orders; nilpotent metabelian groups},
language = {eng},
pages = {189-198},
publisher = {Seminario Matematico of the University of Padua},
title = {Automorphisms of $p$-groups of maximal class},
url = {http://eudml.org/doc/108675},
volume = {115},
year = {2006},
}

TY - JOUR
AU - Caranti, A.
AU - Mattarei, S.
TI - Automorphisms of $p$-groups of maximal class
JO - Rendiconti del Seminario Matematico della Università di Padova
PY - 2006
PB - Seminario Matematico of the University of Padua
VL - 115
SP - 189
EP - 198
LA - eng
KW - automorphism groups; -groups of maximal class; orders; nilpotent metabelian groups
UR - http://eudml.org/doc/108675
ER -

References

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  1. [Bla58] N. BLACKBURN, On a special class of p-groups, Acta Math., 100 (1958), pp. 45-92. Zbl0083.24802MR102558
  2. [BW76] A. H. BAARTMANS - J. J. WOEPPEL, The automorphism group of a p-group of maximal class with an abelian maximal subgroup, Fund Math., 93, n. 1 (1976), pp. 41-46. CM96 F. CATINO - M. M. MICCOLI, A note on IA-endomorphisms of twogenerated metabelian groups, Rend. Sem. Mat. Univ. Padova, 96 (1996), pp. 99-104. Zbl0356.20027MR427471
  3. [CS91] A CARANTI - C. M. SCOPPOLA, Endomorphisms of two-generated metabelian groups that induce the identity modulo the derived subgroup, Arch Math. (Basel) 56, no. 3 (1991), pp. 218-227. Zbl0693.20038MR1091874
  4. [FA95] G. A. FERNÁNDEZ-ALCOBER, The exact lower bound for the degree of commutativity of a p-group of maximal class, J. Algebra, 174, no. 2 (1995), pp. 523-530. Zbl0835.20030MR1334222
  5. [Hup67] B. HUPPERT, Endliche Gruppen. I, Die Grundlehren der Mathematischen Wissenschaften, Band 134 (Springer-Verlag, Berlin, 1967). Zbl0217.07201MR224703
  6. [Juh82] A. JUHÁSZ, The group of automorphisms of a class of finite p-groups, Trans. Amer. Math. Soc. 270, no. 2 (1982), pp. 469-481. Zbl0488.20023MR645325
  7. [LGM02] C. R. LEEDHAM-GREEN - S. MCKAY, The structure of groups of prime power order, London Mathematical Society Monographs. New Series, vol. 27, Oxford University Press. Oxford, 2002, Oxford Science Publications. Zbl1008.20001MR1918951
  8. [Mal01] I. MALINOWSKA, Finite p-groups with few p-automorphisms, J. Group Theory, 4, no. 4 (2001), pp. 395-400. Zbl0991.20017MR1859177

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