Book contents
- Frontmatter
- Contents
- Introduction
- Algorithms for matrix groups
- Residual properties of 1-relator groups
- Words and groups
- The modular isomorphism problem for the groups of order 512
- Recent progress in the symmetric generation of groups
- Discriminating groups: a comprehensive overview
- Extending the Kegel Wielandt theorem through π-decomposable groups
- On the prime graph of a finite group
- Applications of Lie rings with finite cyclic grading
- Pronormal subgroups and transitivity of some subgroup properties
- On Engel and positive laws
- Maximal subgroups of odd index in finite groups with simple classical socle
- Some classic and nearly classic problems on varieties of groups
- Generalizations of the Sylow theorem
- Engel groups
- Lie methods in Engel groups
- On the degree of commutativity of p-groups of maximal class
- Class preserving automorphisms of finite p-groups: a survey
- Symmetric colorings of finite groups
- References
On the degree of commutativity of p-groups of maximal class
Published online by Cambridge University Press: 05 July 2011
Book contents
- Frontmatter
- Contents
- Introduction
- Algorithms for matrix groups
- Residual properties of 1-relator groups
- Words and groups
- The modular isomorphism problem for the groups of order 512
- Recent progress in the symmetric generation of groups
- Discriminating groups: a comprehensive overview
- Extending the Kegel Wielandt theorem through π-decomposable groups
- On the prime graph of a finite group
- Applications of Lie rings with finite cyclic grading
- Pronormal subgroups and transitivity of some subgroup properties
- On Engel and positive laws
- Maximal subgroups of odd index in finite groups with simple classical socle
- Some classic and nearly classic problems on varieties of groups
- Generalizations of the Sylow theorem
- Engel groups
- Lie methods in Engel groups
- On the degree of commutativity of p-groups of maximal class
- Class preserving automorphisms of finite p-groups: a survey
- Symmetric colorings of finite groups
- References
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- Groups St Andrews 2009 in Bath , pp. 560 - 568Publisher: Cambridge University PressPrint publication year: 2011
References
[2] and , Automorphisms of p-groups of maximal class, Rend. Sem. Mat. Univ. Padova. 115 (2006), 189–198Google Scholar
[3] , 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] , , 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] , , On p-groups of maximal class, Math. Nachr., to appear.
[6] and , On p-groups of maximal class I, Quart. J. Math. Oxford Ser. (2) 37 (1976), 297–311.Google Scholar
[7] and , On p-groups of maximal class II, Quart. J. Math. Oxford Ser. (2) 29 (1978), 175–186.Google Scholar
[8] , The group of automorphisms of a class of finite p-groups, Trans. Amer. Mat. Soc. 270 (1982), no. 2, 469–481.Google Scholar
[9] , p-Groups of Maximal Class, Ph.D. thesis, University of Chicago, 1970.
[10] , , and , 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] , , and , 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] , , , and , 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] , , , and , 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] , , and , On the degree of commutativity of a p-group of maximal class, submitted toJ. Pure Appl. Algebra.