Free subgroups in maximal subgroups of skew linear groups
نویسندگان
چکیده
منابع مشابه
Maximal abelian subgroups of free profinite groups
THEOREM. Let F be the free profinite group on a set X, where \X\ > 2, and let n be a non-empty set of primes. Then F has a maximal abelian subgroup isomorphic to HpEn Zp. The idea of the proof is the following: we show that A — Ylpe7I1p is a free factor of Pa, i.e. fia ^ A *B for some profinite group B. To conclude from this that A is a maximal abelian subgroup of Fa (the general case then foll...
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ژورنال
عنوان ژورنال: International Journal of Algebra and Computation
سال: 2019
ISSN: 0218-1967,1793-6500
DOI: 10.1142/s0218196719500164