Supports of derivations, free factorizations, and ranks of fixed subgroups in free groups-Reference-Cited by-同舟云学术

Supports of derivations, free factorizations, and ranks of fixed subgroups in free groups

Published:1999 Issue:4 Volume:351 Page:1531-1550
ISSN:0002-9947
Container-title:Transactions of the American Mathematical Society
language:en
Short-container-title:Trans. Amer. Math. Soc.

Author:

Bergman George

Abstract

For F F a free group of finite rank, it is shown that the fixed subgroup of any set B B of endomorphisms of F F has rank ≤ rank ⁡ ( F ) \leq \operatorname {rank} (F) , generalizing a recent result of Dicks and Ventura. The proof involves the combinatorics of derivations of groups. Some related questions are examined.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/tran/1999-351-04/S0002-9947-99-02087-5/S0002-9947-99-02087-5.pdf

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4. All automorphisms of free groups with maximal rank fixed subgroups;Collins, D. J.;Math. Proc. Cambridge Philos. Soc.,1996

5. Warren Dicks, On equalizers of sections, J. Alg. (to appear).

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