Zobrazeno 1 - 10
of 35
pro vyhledávání: '"Carlo Casolo"'
Autor:
Carlo Casolo
Publikováno v:
Advances in Group Theory and Applications, Vol 1, Pp 33-45 (2016)
We prove that a locally finite group G in which every subgroup is a finite extension of a subnormal subgroup of G is nilpotent-by-\v Cernikov.
Externí odkaz:
https://doaj.org/article/3047980245134d948574f3463b5b9272
An $integral$ of a group $G$ is a group $H$ whose derived group (commutator subgroup) is isomorphic to $G$. This paper discusses integrals of groups, and in particular questions about which groups have integrals and how big or small those integrals c
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d6294832be932487c2ad6601777e9f6f
http://hdl.handle.net/10281/261883
http://hdl.handle.net/10281/261883
Autor:
Schmidt, Roland, Siciliano, Salvatore, Hamid, Usefi, Carlo, Casolo, M., Adin, Ron, Yuval, Roichman, Arye, Juhasz, Alexander, Skiba, Ulderico, Dardano, Francesco., de Giovanni
ADV Perspectives in Group Theory – an open space –
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=od______3730::47afffcfe8cf6500cf23c3be10363b7f
http://hdl.handle.net/11588/772917
http://hdl.handle.net/11588/772917
Given a finite group $$G$$, let $$\mathrm{cd}(G)$$ denote the set of degrees of the irreducible complex characters of $$G$$. The character degree graph of $$G$$ is defined as the simple undirected graph whose vertices are the prime divisors of the nu
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e78f0eca1c0032b097ca39a88b005b54
http://arxiv.org/abs/1809.10415
http://arxiv.org/abs/1809.10415
Autor:
Enrico Jabara, Carlo Casolo
Publikováno v:
Journal of Algebra. 422:318-333
If G is a finite soluble group in which the centralizer of every non-trivial element is metabelian (or nilpotent-by-abelian), then G has derived length at most 4 (respectively, the third term of the derived series is nilpotent).
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::819cee55db0904fb744cc6f58787f9e2
https://doi.org/10.1016/j.jalgebra.2014.09.032
https://doi.org/10.1016/j.jalgebra.2014.09.032
Let \(G\) be a finite solvable group, and let \(\Delta(G)\) denote the \emph{prime graph} built on the set of degrees of the irreducible complex characters of \(G\). A fundamental result by P.P. P\'alfy asserts that the complement $\bar{\Delta}(G)$ o
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a16b82f8b01ca5ef18fa574a66697f08
http://arxiv.org/abs/1706.04351
http://arxiv.org/abs/1706.04351
A group G is a cn -group if for each subgroup H of G there exists a normal subgroup N of G such that the index | H N : ( H ∩ N ) | is finite. The class of cn -groups contains properly the classes of core-finite groups and that of groups in which ea
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1089202b6d8383562c8024b523af6c01
Publikováno v:
Journal of Algebra. 376:46-57
Given a finite group G, consider the prime graph built on the set of conjugacy class sizes of G. Denoting by π 0 the set of vertices of this graph that are not adjacent to at least one other vertex, we show that the Hall π 0 -subgroups of G (which
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::8d28160545a3da7c32f672fde84e7954
https://doi.org/10.1016/j.jalgebra.2012.10.012
https://doi.org/10.1016/j.jalgebra.2012.10.012
Let \(G\) be a finite group, and let \(\Delta(G)\) denote the \emph{prime graph} built on the set of degrees of the irreducible complex characters of \(G\). It is well known that, whenever \(\Delta(G)\) is connected, the diameter of \(\Delta(G)\) is
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::fd51ede6f5157ab6b1f53fa58c7b7b51
http://arxiv.org/abs/1607.05038
http://arxiv.org/abs/1607.05038
Autor:
Carlo Casolo, Orazio Puglisi
Publikováno v:
Journal of Algebra. 370:133-151
We study the Hirsch–Plotkin radical of stability groups of (general) subspace series of infinite dimensional vector spaces. We show that in countable dimension and some other cases, the HP-radical of the stability group coincides with the set of al
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c45730023a865cefe5e7c7de0c3f0f69
https://doi.org/10.1016/j.jalgebra.2012.06.028
https://doi.org/10.1016/j.jalgebra.2012.06.028