Geodesic
The Coherence Number of 2-Groups
Canadian mathematical bulletin, Tome 33 (1990) no. 4, pp. 503-508

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DOI

Let G be a finite group. A natural invariant c(G) of G has been defined by W.J. Ralph, as the order (possibly infinite) of a distinguished element of a certain abelian group associated to G. Ralph has shown that c(Zn ) = 1 and c(Z 2 ⴲ Z2 ) = 2. In the present paper we show that c(G) is finite whenever G is a dihedral group or a 2-group, and obtain upper bounds for c(G) in these cases.
DOI : 10.4153/CMB-1990-080-1
Mots-clés : 20D60, 20E05 
McCool, James. The Coherence Number of 2-Groups. Canadian mathematical bulletin, Tome 33 (1990) no. 4, pp. 503-508. doi: 10.4153/CMB-1990-080-1
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     title = {The {Coherence} {Number} of {2-Groups}},
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     doi = {10.4153/CMB-1990-080-1},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1990-080-1/}
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