The structure of finite groups in which permutability is a transitive relation

Journal of the Australian Mathematical Society

Volumn 70, Issue 2, 2001, Pages 143-159

  Robinson, Derek J S ^a  

^a UNIVERSITY OF ILLINOIS AT URBANA CHAMPAIGN   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0041028629     PISSN: 14467887     EISSN: None     Source Type: Journal    
DOI: 10.1017/s1446788700002573     Document Type: Article

References (16)

1. R. K. Agrawal, 'Finite groups whose subnormal subgroups permute with all Sylow subgroups', Proc. Amer. Math. Soc. 47 (1975), 77-83.
2. J. C. Beidleman, B. Brewster and D. J. S. Robinson, 'Criteria for permutability to be transitive in finite groups', J. Algebra 222 (1999), 400-412.
3. J. Cossey, 'Finite groups generated by subnormal T-subgroups', Glasgow Math. J. 37 (1995), 363-371.
4. _, 'Finite insoluble T-groups', preprint.
5. R. Dedekind, 'Über Gruppen, deren sämmtliche Teiler Normalteiler sind', Math. Ann. 48 (1897), 548-561.
6. W. Gaschütz, 'Gruppen, in denen das Normalteilersein transitiv ist', J. Reine Angew. Math. 198 (1957), 87-92.
7. B. Huppert and N. Blackburn, Finite groups, III (Springer, Berlin, 1982).
8. O. H. Kegel, 'Sylow-Gruppen und Subnormalteiler endlicher Gruppen', Math. Z. 78 (1962), 205-221.
9. _, 'Über den Normalisator von subnormalen und erreichbaren Untergruppen', Math. Ann. 163 (1966), 248-258.
10. J. C. Lennox and S. E. Stonehewer, Subnormal subgroups (Oxford, 1987).
11. O. Ore, 'Contributions to the theory of groups of finite order', Duke Math. J. 5 (1939), 431-460.
12. T. A. Peng, 'Finite groups with pro-normal subgroups', Proc. Amer. Math. Soc. 20 (1969), 232-234.
13. D. J. S. Robinson, 'A note on finite groups in which normality is transitive', Proc. Amer. Math. Soc. 19 (1968), 933-937.
14. _, 'A survey of groups in which normality or permutability is a transitive relation', in: Algebra: recent advances (Indian National Science Academy, New Delhi, 1999) pp. 171-181.
15. R. Schmidt, Subgroup lattices of groups (de Gruyter, Berlin, 1994).
16. G. Zacher, 'I gruppi risolubili finiti in cui i sottogruppi di composizione coincidano con i sottogruppi quasi-normali', Atti Accad. Naz. Lincei Rend. Cl. Sc. Fis. Mat. Natur. 37 (1964), 150-154.