Note on a variant of the Erdős-Ginzburg-Ziv problem
Displaying 501 – 520 of 1356
Note on the -nilpotency in finite groups.
Bakić, Radoš (2004)
Novi Sad Journal of Mathematics
Note on the simple group of order 504
W. Burnside (1899)
Mathematische Annalen
Notes on the average number of Sylow subgroups of finite groups
Jiakuan Lu, Wei Meng, Alexander Moretó, Kaisun Wu (2021)
Czechoslovak Mathematical Journal
We show that if the average number of (nonnormal) Sylow subgroups of a finite group is less than then is solvable or . This generalizes an earlier result by the third author.
Number of solutions in a box of a linear homogeneous equation in an Abelian group
Maciej Zakarczemny (2012)
Acta Arithmetica
OD-characterization of almost simple groups related to
Liang Cai Zhang, Wu Jie Shi (2008)
Archivum Mathematicum
In the present paper, we classify groups with the same order and degree pattern as an almost simple group related to the projective special linear simple group . As a consequence of this result we can give a positive answer to a conjecture of W. J. Shi and J. X. Bi, for all almost simple groups related to except . Also, we prove that if is an almost simple group related to except and is a finite group such that and , then .
Odd Automorphisms of Sylow 2-subgroups of sporadic simple groups.
Peter Rowley, Christopher Parker (1996)
Manuscripta mathematica
Odd Order Hall Subgroups of GL(n, q) and Sp(2n, q).
Fletcher Gross (1984)
Mathematische Zeitschrift
Odd order Hall subgroups of the classical linear groups.
Flechter Gross (1995)
Mathematische Zeitschrift
On 2-Groups with no Abelian Subgroups of Rank Four.
Gernot Stroth (1975)
Mathematische Zeitschrift
On - and -decomposable finite groups
Ali Reza Ashrafi, Yao Qing Zhao (2003)
Mathematica Slovaca
On - and -decomposable finite groups
Ali Reza Ashrafi, Wu Jie Shi (2005)
Mathematica Slovaca
On a certain class of 2-local subgroups in finite simple groups
Jurgen Bierbrauer (1980)
Rendiconti del Seminario Matematico della Università di Padova
On a class of finite solvable groups
James Beidleman, Hermann Heineken, Jack Schmidt (2013)
Open Mathematics
A finite solvable group G is called an X-group if the subnormal subgroups of G permute with all the system normalizers of G. It is our purpose here to determine some of the properties of X-groups. Subgroups and quotient groups of X-groups are X-groups. Let M and N be normal subgroups of a group G of relatively prime order. If G/M and G/N are X-groups, then G is also an X-group. Let the nilpotent residual L of G be abelian. Then G is an X-group if and only if G acts by conjugation on L as a group...
On a class of groups with Lagrangian factor groups.
Tuccillo, Fernando (1994)
Portugaliae Mathematica
On A Combinatorial Problem Connected withFactorizations
Weidong Gao (1997)
Colloquium Mathematicae
On a conjecture of Erdös and Heilbronn
E. Szemerédi (1970)
Acta Arithmetica
On a conjecture of M. E. Watkins on graphical regular representations of finite groups
László Babai (1978)
Compositio Mathematica
On a definition for formations
Marco Barlotti (1988)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
By constructing appropriate faithful simple modules for the group GL(2,3), the author shows that certain "local" definitions for formations are not equivalent.
On a free action of a group on an Abelian group.
Mazurov, V.D., Churkin, V.A. (2002)
Sibirskij Matematicheskij Zhurnal