Výsledky vyhledávání - "S. Camp-Mora"

Groups with some families of complemented subgroups

Publikováno v: Archiv der Mathematik. 115:131-137

A subgroup H of a group G is said to be complemented in G if there exists a subgroup K of G such that $$G=HK$$ and $$H \cap K=1$$ . We prove that, for a locally soluble group G, all cyclic subgroups are complemented if and only if it is the semidirec

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https://doi.org/10.1007/s00013-020-01473-0

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On locally finite groups whose subgroups of infinite rank have some permutable property

Autor: S. Camp-Mora, R. Ialenti, Adolfo Ballester-Bolinches, Francesca Spagnuolo, Martyn R. Dixon

Publikováno v: Annali di Matematica Pura ed Applicata (1923 -). 196:1855-1862

In this paper, we study the behavior of locally finite groups of infinite rank whose proper subgroups of infinite rank have one of the three following properties, which are generalizations of permutability: S-permutability, semipermutability and S-se

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https://doi.org/10.1007/s10231-017-0642-7

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On groups whose subgroups of infinite rank are Sylow permutable

Autor: Adolfo Ballester-Bolinches, Leonid A. Kurdachenko, Francesca Spagnuolo, S. Camp-Mora

Publikováno v: Annali di Matematica Pura ed Applicata (1923 -). 195:717-723

In this paper, we investigate the structure of locally finite groups of infinite section rank (respectively, special rank) whose subgroups of infinite section rank (respectively, special rank) are Sylow permutable, permutable or normal. Some earlier

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https://doi.org/10.1007/s10231-015-0485-z

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On $$p$$ p -nilpotency of hyperfinite groups

Autor: Francesca Spagnuolo, S. Camp-Mora, Adolfo Ballester-Bolinches

Publikováno v: Monatshefte für Mathematik. 176:497-502

Let $p$ be a prime. We say that class $\fancyscript{X}$ of hyperfinite $p$-groups determines$p$-nilpotency locally if every finite group $G$ with a Sylow $p$-subgroup $P$ in $\fancyscript{X}$ is $p$-nilpotent if and only if \({{\mat

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https://doi.org/10.1007/s00605-014-0633-3

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A note on Sylow permutable subgroups of infinite groups

Autor: Leonid A. Kurdachenko, S. Camp-Mora, Adolfo Ballester-Bolinches

Publikováno v: Journal of Algebra. 398:156-161

A subgroup A of a periodic group G is said to be Sylow permutable, or S-permutable, subgroup of G if A P = P A for all Sylow subgroups P of G. The aim of this paper is to establish the local nilpotency of the section A G / Core G ( A ) for an S-permu

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https://doi.org/10.1016/j.jalgebra.2013.08.042

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Extension of a Schur theorem to groups with a central factor with a bounded section rank

Autor: Javier Otal, Leonid A. Kurdachenko, Adolfo Ballester-Bolinches, S. Camp-Mora

Publikováno v: Journal of Algebra. 393:1-15

A well-known result reported by Schur states that the derived subgroup of a group is finite provided its central factor is finite. Here we show that if the p-section rank of the central factor of a locally generalized radical group is bounded, then s

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https://doi.org/10.1016/j.jalgebra.2013.06.035

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Locally finite groups with two normalizers

Autor: S. Camp-Mora

Publikováno v: Communications in Algebra. 28:5475-5480

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::3784e286b966969474e487f5d6e0494d
https://doi.org/10.1080/00927870008827168

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A Gaschütz–Lubeseder Type Theorem in a Class of Locally Finite Groups

Autor: S. Camp-Mora, Adolfo Ballester-Bolinches

Publikováno v: Journal of Algebra. (2):562-569

The aim of this paper is to present a Gaschutz–Lubeseder type theorem in the class cL of all radical locally finite groups satisfying min−p for all primes p. Notice that these groups are countable and co-Hopfian by [1, (5.4.8)]. In retrospect, th

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