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M. Gutierrez and S. Krstic, Normal forms for basis-conjugating automorphisms of a free group, IJAC 8 (1998) 631--669.

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The Pure Symmetric Automorphisms of a Free Group Form .. - Brady, McCammond.. (2001)   (Correct)

....whose dimension is the sum of the dimensions of its constituents (see Theorem 9. 10 in [2] That the virtual cohomological dimension of #n is n 1 was previously established by Collins in [9] In more recent work, Gutierrez and Krstic have shown that #n has a regular language of normal forms [11], and Orlandi Korner has computed the BNS invariant of P#n [13] Bogley and Krstic have recently announced a computation of the integral homology of the groups #n [4] We establish Theorem 1.1 using a variation on the Main Theorem of [8] which is presented in Section 3. To apply this type of ....

....computations show that its presentation 2 complex does not support a CAT(0) metric. Question 6.4. Is P#n a CAT(0) group Finally, we remind the reader that Gutierrez and Krstic have established that P#n has a regular language of normal forms, and they have asked if moreover P#n is (bi)automatic [11]. ....

M. Gutierrez and S. Krstic, Normal forms for basis-conjugating automorphisms of a free group, IJAC 8 (1998) 631--669.


The Pure Symmetric Automorphisms of a Free Group Form .. - Brady, McCammond.. (2000)   (Correct)

....whose dimension is the sum of the dimensions of its constituents (see Theorem 9. 10 in [2] That the virtual cohomological dimension of #n is n 1 was previously established by Collins in [8] In more recent work, Gutierrez and Krstic have shown that #n has a regular language of normal forms [10], and Orlandi Korner has computed the BNS invariant of P#n [12] Bogley and Krstic have recently announced a computation of the integral homology of the groups #n [4] We establish Theorem 1.1 using a variation on the Main Theorem of [7] which is presented in Section 3. To apply this type of ....

....computations show that its presentation 2 complex does not support a CAT(0) metric. Question 6.4. Is P#n a CAT(0) group Finally, we remind the reader that Gutierrez and Krstic have established that P#n has a regular language of normal forms, and they have asked if moreover P#n is (bi)automatic [10]. ....

M. Gutierrez and S. Krstic, Normal forms for basis-conjugating automorphisms of a free group, IJAC 8 (1998) 631--669.

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