On the Structure of Compact Torsion Groups.
John S. Wilson (1983)
Monatshefte für Mathematik
Leonid Kurdachenko, Sevgi Atlıhan, Nikolaj Semko (2014)
Open Mathematics
The main aim of this article is to examine infinite groups whose non-abelian subgroups are subnormal. In this sense we obtain here description of such locally finite groups and, as a consequence we show several results related to such groups.
T.S. Wu, R.W. Bagley, J.S. Yang (1992)
Mathematica Scandinavica
Juan González-Meneses, Bert Wiest (2004)
Annales scientifiques de l'École Normale Supérieure
J.C. BEIDLEMAN, D.J.S. ROBINSON (1991)
Forum mathematicum
James C. Beidleman, Derek J. S. Robinson (1992)
Rendiconti del Seminario Matematico della Università di Padova
Yılmaz Özgür, Nihal (2003)
Beiträge zur Algebra und Geometrie
A Jaikin-Zapirain (2008)
Revista Matemática Iberoamericana
Mihail G. Tkachenko (1984)
Czechoslovak Mathematical Journal
Martyn Dixon, Martin Evans, Antonio Tortora (2010)
Open Mathematics
A subgroup H of a group G is inert if |H: H ∩ H g| is finite for all g ∈ G and a group G is totally inert if every subgroup H of G is inert. We investigate the structure of minimal normal subgroups of totally inert groups and show that infinite locally graded simple groups cannot be totally inert.
Leonid A. Kurdachenko, Igor Ya. Subbotin (2002)
Commentationes Mathematicae Universitatis Carolinae
This article is dedicated to soluble groups, in which pronormality is a transitive relation. Complete description of such groups is obtained.
Timoshenko, E.I. (2001)
Sibirskij Matematicheskij Zhurnal
Hilton, Peter (2005)
International Journal of Mathematics and Mathematical Sciences
L. Polák (1987)
Semigroup forum
Libor Polák (1988)
Semigroup forum
Hans Rudolf Schneebeli (1978)
Mathematische Zeitschrift
Jinshan Zhang, Zhencai Shen, Dandan Liu (2010)
Czechoslovak Mathematical Journal
For a finite group and a non-linear irreducible complex character of write . In this paper, we study the finite non-solvable groups such that consists of at most two conjugacy classes for all but one of the non-linear irreducible characters of . In particular, we characterize a class of finite solvable groups which are closely related to the above-mentioned question and are called solvable -groups. As a corollary, we answer Research Problem in [Y. Berkovich and L. Kazarin: Finite...
Wen-Fong Ke, Johannes H. Meyer, Günter F. Pilz, Gerhard Wendt (2024)
Czechoslovak Mathematical Journal
We investigate conditions on an infinite simple group in order to construct a zero-symmetric nearring with identity on it. Using the Higman-Neumann-Neumann extensions and Clay’s characterization, we obtain zero-symmetric nearrings with identity with the additive groups infinite simple groups. We also show that no zero-symmetric nearring with identity can have the symmetric group as its additive group.
Ferdaous Kellil, Guy Rousseau (2007)
Annales de la faculté des sciences de Toulouse Mathématiques
On considère un immeuble de type ou , différents sous-ensembles de l’ensemble des sommets de et différents groupes d’automorphismes de , très fortement transitifs sur . On montre que l’algèbre des opérateurs -invariants agissant sur l’espace des fonctions sur est souvent non commutative (contrairement aux résultats classiques). Dans certains cas on décrit sa structure et on détermine ses fonctions radiales propres. On en déduit que la conjecture d’Helgason n’est pas toujours vérifiée...
Erik Bédos (1984)
Mathematische Annalen