The class of evolving groups is defined and investigated, as well as their connections to examples in the field of Galois cohomology. Evolving groups are proved to be Sylow Tower groups in a rather strong sense. In addition, evolving groups are characterized as semidirect products of two nilpotent groups of coprime orders where the action of one on the other is via automorphisms that map each subgroup to a conjugate.
Evolving groups / Stanojkovski, Mima. - In: ARCHIV DER MATHEMATIK. - ISSN 0003-889X. - 111:1(2018), pp. 3-12. [10.1007/s00013-018-1178-9]
Evolving groups
Mima Stanojkovski
2018-01-01
Abstract
The class of evolving groups is defined and investigated, as well as their connections to examples in the field of Galois cohomology. Evolving groups are proved to be Sylow Tower groups in a rather strong sense. In addition, evolving groups are characterized as semidirect products of two nilpotent groups of coprime orders where the action of one on the other is via automorphisms that map each subgroup to a conjugate.File in questo prodotto:
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