Number of Sylow subgroups in finite groups
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DOI: 10.1515/jgth-2018-0010
Abstract: Abstract Denote by νp(G){\nu_{p}(G)} the number of Sylow p-subgroups of G. It is not difficult to see that νp(H)⩽νp(G){\nu_{p}(H)\leqslant\nu_{p}(G)} for H⩽G{H\leqslant G}, however νp(H){\nu_{p}(H)} does not divide νp(G){\nu_{p}(G)} in general. In this paper we reduce… read more here.
Keywords: sylow subgroups; number sylow; subgroups finite; finite groups ... See more keywords