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
Class preserving automorphisms of finite p-groups: a survey
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. 569 - 579Publisher: Cambridge University PressPrint publication year: 2011
References
[2] , Theory of groups of finite order, 2nd Ed., Dover Publications, Inc., 1955. Reprint of the 2nd edition (Cambridge, 1911).Google Scholar
[3] , On the outer automorphisms of a group, Proc. London Math. Soc. (2) 11 (1913), 40–42.Google Scholar
[4] and , Finite groups with many product conjugacy classes, Israel J. Math. 154 (2006), 29–49.Google Scholar
[6] and , On finite rational groups and related topics, Illinois J. Math. 33 (1988), 103–131.Google Scholar
[7] and , “Hasse principle” for finite p-groups with cyclic subgroups of index p2, Math. J. Okayama Univ. 46 (2004), 31–38.Google Scholar
[8] , The classification of prime power groups, Journal für die reine und angewandte Mathematik 182 (1940), 130–141.Google Scholar
[9] , Nilpotente Gruppen, deren sämtliche Normalteiler charakteristisch sind, Arch. Math. (Basel) 33 (1980), no. 6, 497–503.Google Scholar
[10] and , Class preserving automorphisms of Blackburn groups, J. Austral. Math. Soc. 80 (2006), 351–358.Google Scholar
[12] , Contributions to the integral representation theory of groups, Habilitationsschrift, University of Stuttgart (2004). Available at http://elib.uni-stuttgart.de/opus/volltexte/2004/1638
[13] and , Class-preserving automorphisms and normalizer property for Blackburn groups, J. Group Theory 12 (2009), 157–169.Google Scholar
[14] , Nichtabelsche p-gruppen besitzen äussere p-automorphismen, J. Algebra 4 (1966), 1–2.Google Scholar
[16] and , “Hasse principle” for extraspecial p-groups, Proc. Japan Acad. 76, Ser. A, no. 8 (2000), 123–125.Google Scholar
[17] and , “Hasse principle” for groups of order p4, Proc. Japan Acad. 77, Ser. A, no. 6 (2001), 95–98.Google Scholar
[18] and , On automorphisms of some p-groups, Proc. Japan Acad. 78, Ser. A, no. 4 (2002), 46–50.Google Scholar
[19] , On quasi-inner automorphisms of a finite p-group, Publ. Math. Debrecen 41 (1992), no. 1–2, 73–77.Google Scholar
[20] , p-automorphisms of finite p-groups: problems and questions, Advances in Group Theory (1992), 111–127.Google Scholar
[21] , A note on Shafarevich–Tate sets for finite groups, Proc. Japan Acad. 74, Ser. A (1998), 77–79.Google Scholar
[22] , On Shafarevich-Tate sets, Advanced Studies in Pure Mathematics: Class Field Theory — Its Centenary and prospect 30 (2001), 537–547.Google Scholar
[23] and , “Hasse principle” for free groups, Proc. Japan Acad. 75, Ser. A (1999), 1–2.Google Scholar
[24] and , “Hasse principle” for symmetric and alternating groups, Proc. Japan Acad. 75, Ser. A (1999), 61–62.Google Scholar
[27] , n-inner automorphisms of finite groups, Proc. Amer. Math. Soc. 131 (2003), 3657–3664.Google Scholar
[30] , Finite groups with class preserving outer automorphisms, J. London Math. Soc. 22 (1947), 315–320.Google Scholar
[31] , Class preserving automorphisms of finite p-groups, J. London Math. Soc. 75 (2007), no. 3, 755–772.Google Scholar
[33] , On automorphisms of some finite p-groups, Proc. Indian Acad. Sci. (Math. Sci.) 118 (2008), no. 1, 1–11.Google Scholar
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