A generating set S for a group G is independent if the subgroup generated by is properly contained in G for all We describe the structure of finite groups G such that there are precisely two numbers appearing as the cardinalities of independent generating sets for G.
FINITE GROUPS WITH INDEPENDENT GENERATING SETS OF ONLY TWO SIZES
Lucchini A.;
2023
Abstract
A generating set S for a group G is independent if the subgroup generated by is properly contained in G for all We describe the structure of finite groups G such that there are precisely two numbers appearing as the cardinalities of independent generating sets for G.
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