Geodesic
Inequalities for Baer Invariants of Finite Groups
Canadian mathematical bulletin, Tome 41 (1998) no. 4, pp. 385-391

Voir la notice de l'article provenant de la source Cambridge University Press

In this note we further our investigation of Baer invariants of groups by obtaining, as consequences of an exact sequence of A. S.-T. Lue, some numerical inequalities for their orders, exponents, and generating sets. An interesting group theoretic corollary is an explicit bound for $|{{\gamma }_{c+1}}\,(G)|$ given that $G\,/\,{{Z}_{c}}\,(G)$ is a finite $p$ -group with prescribed order and number of generators.
DOI : 10.4153/CMB-1998-051-3
Mots-clés : 20C25 
Burns, John; Ellis, Graham. Inequalities for Baer Invariants of Finite Groups. Canadian mathematical bulletin, Tome 41 (1998) no. 4, pp. 385-391. doi: 10.4153/CMB-1998-051-3
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