A family of permutation groups with exponentially many nonconjugated regular elementary abelian subgroups
نویسندگان
چکیده
منابع مشابه
p-GROUPS WITH MAXIMAL ELEMENTARY ABELIAN SUBGROUPS OF RANK 2
Let p be an odd prime number and G a finite p-group. We prove that if the rank of G is greater than p, then G has no maximal elementary abelian subgroup of rank 2. It follows that if G has rank greater than p, then the poset E(G) of elementary abelian subgroups of G of rank at least 2 is connected and the torsion-free rank of the group of endotrivial kG-modules is one, for any field k of charac...
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ژورنال
عنوان ژورنال: St. Petersburg Mathematical Journal
سال: 2018
ISSN: 1061-0022,1547-7371
DOI: 10.1090/spmj/1507