TY - JOUR
T1 - On balanced presentations of the trivial group
AU - Ivanov, S. V.
PY - 2006/9
Y1 - 2006/9
N2 - To solve problems of Magnus and Stallings stated in the 1960s, we construct a balanced presentation of the trivial group such that no defining relator of this presentation could be replaced by a free generator and the group, given by the altered presentation, would still be trivial. Some other related problems on balanced presentations of the trivial group are discussed.
AB - To solve problems of Magnus and Stallings stated in the 1960s, we construct a balanced presentation of the trivial group such that no defining relator of this presentation could be replaced by a free generator and the group, given by the altered presentation, would still be trivial. Some other related problems on balanced presentations of the trivial group are discussed.
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U2 - 10.1007/s00222-005-0497-1
DO - 10.1007/s00222-005-0497-1
M3 - Article
AN - SCOPUS:33746708059
SN - 0020-9910
VL - 165
SP - 525
EP - 549
JO - Inventiones Mathematicae
JF - Inventiones Mathematicae
IS - 3
ER -