On capable p-groups of nilpotency class two

Illinois Journal of Mathematics

Volumn 47, Issue 1-2, 2003, Pages 49-62

  Bacon, Michael R ^a   Kappe, Luise Charlotte ^b  

^a USC Sumter   (United States)

^b STATE UNIVERSITY OF NEW YORK   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0346957257     PISSN: 00192082     EISSN: None     Source Type: Journal    
DOI: 10.1215/ijm/1258488137     Document Type: Article

References (23)

1. M. Bacon, The nonabelian tensor squares and powers of a group, Dissertation, State University of New York at Binghamton, 1992.
2. _, The nonabelian tensor square of a nilpotent group of class two, Glasgow Math. J. 36 (1994) 291-296.
3. M. Bacon and L.C. Kappe, The nonabelian tensor square of a 2-generator p-group of class 2, Arch. Math. 61 (1993), 508-516.
4. R. Baer, Groups with preassigned central and central quotient groups, Trans. Amer. Math. Soc. 44 (1938), 387-412.
5. J. Beuerle and L.C. Kappe, Infinite metacyclic groups and their nonabelian tensor squares, Proc. Edinburgh Math. Soc. 43 (2000), 651-662.
6. F.R. Beyl, U. Feigner, and P. Schmid, On groups occurring as center factor groups, J. Algebra 61 (1979), 161-177.
7. D. Biddle and L.C. Kappe, On subgroups related to the tensor center, Glasgow Math. J. 45 (2003), 323-332.
8. R. Brown, D.L. Johnson, and E.F. Robertson, Some computations of non-abelian tensor products of groups, J. Algebra 111 (1987), 177-202.
9. R. Brown and J.-L. Loday, Excision homotopique en basse dimension, C.R. Acad. Sci. Paris Ser. I Math. 298 (1984) 353-356.
10. _, Van Kampen theorems for diagrams of spaces, Topology 26 (1987), 311-335.
11. R.K. Dennis, In search of new "homology" functors having a close relationship to K-theory, preprint, Cornell University, Ithaca, NY, 1976.
12. G. Ellis, Tensor products and q-crossed modules, J. London Math. Soc. (2) 51 (1995), 243-258.
13. _, On the capability of groups, Proc. Edinburgh Math. Soc. 41 (1998), 487-495.
14. _, On the computation of certain homological functors, J. Comput. Math. 1 (1998) 25-41.
15. T. Ganea, Homology et extensions centrales des groupes, C.R. Acad. Sci. Paris Ser. I Math. 266 (1968), 556-568.
16. n(n ≤ 6), MacMillan, New York, 1964.
17. P. Hall, The classification of prime-power groups, J. Reine Angew. Math 182 (1940), 130-141.
18. H. Heineken, Nilpotent groups of class 2 that can appear as central quotient groups, Rend. Sem. Mat. Univ. Padova 84 (1990), 241-248.
19. H. Heineken and D. Nikolova, Class two nilpotent capable groups, Bull. Austral. Math. Soc. 54 (1996), 347-352.
20. L.C. Kappe, N. Sarmin, and M. Visscher, Two-generator 2-groups of class two and their nonabelian tensor squares, Glasgow Math. J. 41 (1999), 417-430.
21. A.S.-T. Lue, The Ganea map for nilpotent groups, J. London Math. Soc. 14 (1976), 309-312.
22. C. Miller, The second homology group of a group; relations among commutators, Proc. Amer. Math. Soc. 3 (1952), 588-595.
23. N. Steenrod, The topology of fibre bundles, Princeton University Press, Princeton, 1951.