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Early papers

1.
On symmetric words in nilpotent groups, Publ. Inst. Math. Beograd 27 (1980), 139-142.

2.
Two results on composite operations in groups, Publ. Inst. Math. Beograd 33 (1983), 123-131.

3.
On a theorem of Hanna Neumann, Publ. Inst. Math. Debrecen 31 (1984), 71-76.



SUMMARY:


I was a self-taught combinatorial group theorist, read Magnus-Karrass-Solitar and Lyndon-Schupp, and wrote the master thesis "Lower central series of free groups". The paper [1] was a part of the thesis. It gives a solution of a problem of Plonka [P]: The subgroup of symmetric elements in a free nilpotent group of a given nilpotency class stabilizes with the rank. The same results was later reproved by O. Macedonska-Novalska [Ma].

The papers [2] and [3] give two generalizations of a theorem of Hanna Neumann about composite operations in groups [N].



REFERENCES:


[M]
O. Macedonska-Novalska, On symmetric words in nilpotent groups, Fund. Math. 120 (1984), 119-125.

[N]
H. Neumann, On a theorem of Kertész, Publ. Math. Debrecen 8 (1961), 75-78.

[P]
E. Plonka, Symmetric words in nilpotent groups of class $\le3$, Fundamenta Math. 97 (1977), 95-103.


next up previous
Next: About this document ... Up: SUMMARY OF RESULTS Previous: Quadratic quasigroup varieties

2000-03-16