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

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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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     title = {Inequalities for {Baer} {Invariants} of {Finite} {Groups}},
     journal = {Canadian mathematical bulletin},
     pages = {385--391},
     year = {1998},
     volume = {41},
     number = {4},
     doi = {10.4153/CMB-1998-051-3},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1998-051-3/}
}
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