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On the degree of commutativity of p-groups of maximal class

Published online by Cambridge University Press:  05 July 2011

A. Vera-López
Affiliation:
University of the Basque Country
M. A. García-Sánchez
Affiliation:
University of the Basque Country
C. M. Campbell
Affiliation:
University of St Andrews, Scotland
M. R. Quick
Affiliation:
University of St Andrews, Scotland
E. F. Robertson
Affiliation:
University of St Andrews, Scotland
C. M. Roney-Dougal
Affiliation:
University of St Andrews, Scotland
G. C. Smith
Affiliation:
University of Bath
G. Traustason
Affiliation:
University of Bath
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Publisher: Cambridge University Press
Print publication year: 2011

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References

[1] N., Blackburn, On a special class of p-groups, Acta Math. 100 (1958), 45–92Google Scholar
[2] A., Caranti and S., Mattarei, Automorphisms of p-groups of maximal class, Rend. Sem. Mat. Univ. Padova. 115 (2006), 189–198Google Scholar
[3] G. A., Fernández-Alcober, The exact lower bound for the degree of commutativity of a p-group of maximal class, J. Algebra 174 (1995), 523–530.Google Scholar
[4] A., Jaikin-Zapirain, A., Vera-López, On the use of Lazard's correspondence in the classification of p-groups of maximal class, J. Algebra 228 (2000), 477–490.Google Scholar
[5] A., Jaikin-Zapirain, A., Vera-López, On p-groups of maximal class, Math. Nachr., to appear.
[6] C.R., Leedham-Green and S., McKay, On p-groups of maximal class I, Quart. J. Math. Oxford Ser. (2) 37 (1976), 297–311.Google Scholar
[7] C.R., Leedham-Green and S., McKay, On p-groups of maximal class II, Quart. J. Math. Oxford Ser. (2) 29 (1978), 175–186.Google Scholar
[8] A., Juhasz, The group of automorphisms of a class of finite p-groups, Trans. Amer. Mat. Soc. 270 (1982), no. 2, 469–481.Google Scholar
[9] R., Shepherd, p-Groups of Maximal Class, Ph.D. thesis, University of Chicago, 1970.
[10] A., Vera-López, J. M., Arregi, and F. J., Vera-López, Some bounds on the degree of commutativity of a p-group of maximal class, II, Comm. in Algebra 23 (1995), 2765–2795.Google Scholar
[11] A., Vera-López, J. M., Arregi, and F. J., Vera-López, Some bounds on the degree of commutativity of a p-group of maximal class, III, Math. Proc. Cambridge Philos. Soc. 122 (1997), 251–260.Google Scholar
[12] A., Vera-López, J. M., Arregi, M.A., García-Sánchez, R., Esteban-Romero and F. J., Vera-López, The exact bound for the degree of commutativity of a p-group of maximal class, I, J. Algebra 256 (2002), 375–401.Google Scholar
[13] A., Vera-López, J. M., Arregi, M.A., García-Sánchez, R., Esteban-Romero and F. J., Vera-López, The exact bound for the degree of commutativity of a p-group of maximal class, II, J. Algebra 273 (2004), 806–853.Google Scholar
[14] A., Vera-López, J. M., Arregi, M.A., García-Sánchez and L., Ormaetxea, On the degree of commutativity of a p-group of maximal class, submitted toJ. Pure Appl. Algebra.

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