On the nilpotency class and solvability length of nonabelian tensor products of groups

Archiv der Mathematik

Volumn 73, Issue 3, 1999, Pages 161-171

  Visscher, Matthew P ^a  

^a BINGHAMTON UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0033239166     PISSN: 0003889X     EISSN: None     Source Type: Journal    
DOI: 10.1007/PL00000400     Document Type: Article

References (11)

1. M. BACON and L.-C. KAPPE, The nonabelian tensor square of a 2-generator p-group of class 2. Arch. Math. 61, 508-516 (1993).
2. M. BACON, L.-C. KAPPE and R. F. MORSE, On the nonabelian tensor square of a 2-Engel group. Arch. Math. 69, 353-364 (1997).
3. R. BROWN, D. L. JOHNSON and E. F. ROBERTSON, Some Computations of Non-Abelian Tensor Products of Groups. J. Algebra 111, 177-202 (1987).
4. R. BROWN and J.-L. LODAY, Excision homotopique en basse dimension. C.R. Acad. Sci. Ser. I Math. Paris 298, 353-356 (1984).
5. R. BROWN and J.-L. LODAY, Van Kampen theorems for diagrams of spaces. Topology 26, 311-335 (1987).
6. G. ELLIS and F. LEONARD, Computing Schur Multipliers and Tensor Products of Finite Groups. Proc. Royal Irish Acad. 95A, 137-147 (1995).
7. L.-C. KAPPE, Nonabelian Tensor Products of Groups: the Commutator Connection. Proceedings Groups-St.Andrews 1997 at Bath, LMS Lecture Notes, to appear.
8. A. MCDERMOTT, The Nonabelian Tensor Product of Groups: Computations and Structural Results. Ph.D. Dissertation, National University of Ireland, Galway, 1998.
9. D. J. S. ROBINSON, A course in the theory of groups. Springer Verlag, Berlin, 1982.
10. N. R. ROCCO, Nonabelian Tensor Products under Engelian Actions: an Approach via a Related Construction. Preprint, University of Brasília, Brasĺia-DF, Brazil, 1997.
11. M. SCHÖNERT, et al., GAP-Groups, Algorithms, and Programming (3rd ed.). Lehrstuhl D für Mathematik, RWTH, Aachen, 1993.