Results 41 to 50 of about 142 (54)

Graphs attached to simple Frobenius-Perron dimensions of an integral fusion category

, 2014
Let $${\mathcal C}$$C be an integral fusion category. We study some graphs, called the prime graph and the common divisor graph, related to the Frobenius-Perron dimensions of simple objects in the category $${\mathcal C}$$C, that extend the corresponding
S. Natale, Edwin Pacheco Rodríguez
semanticscholar   +1 more source

A Note on Special Local 2-Nilpotent Groups and the Solvability of Finite Groups

Algebra Colloquium, 2018
A finite group G is called a special local 2-nilpotent group if G is not 2-nilpotent, the Sylow 2-subgroup P of G has a section isomorphic to the quaternion group of order 8, [Formula: see text] and NG(P) is 2-nilpotent.
Jiangtao Shi, Klavdija Kutnar, Cui Zhang
semanticscholar   +1 more source

Geometry of Crystallographic Groups

Algebra and discrete mathematics, 2012
Crystallographic groups are groups which act in a nice way and via isometries on some n-dimensional Euclidean space. They got their name, because in three dimensions they occur as the symmetry groups of a crystal (which we imagine to extend to infinity ...
A. Szczepański
semanticscholar   +1 more source

Semirigidity and the enumeration of nilpotent semigroups of index three

Semigroup Forum
There is strong evidence for the belief that ‘almost all’ finite semigroups, whether we consider multiplication operations on a fixed set or their isomorphism classes, are nilpotent of index 3 (3-nilpotent for short).
I. Dolinka, And D. G. FITZGERALD, James D. Mitchell   +2 more
semanticscholar   +1 more source

On Minimal Non-(residually Nilpotent) Locally Graded Groups

Mediterranean Journal of Mathematics, 2021
A. O. Asar
semanticscholar   +1 more source

Abelian quotients and orbit sizes of solvable linear groups

Israel Journal of Mathematics, 2016
T. Keller, Yong Yang
semanticscholar   +2 more sources

Generalizations of Groups in which Normality Is Transitive

, 2007
M. Ragland
semanticscholar   +1 more source

Finite Shmidt's groups and their generalizations

, 1991
N. F. Kuzennyi, S. S. Levishchenko
semanticscholar   +1 more source

A generalization of Schmidt’s Theorem on groups with all subgroups nilpotent

Archiv der Mathematik, 2012
M. Zarrin
semanticscholar   +2 more sources

NILPOTENCY, SOLVABILITY AND RADICALS IN CATEGORIES

, 1991
S. Botha, A. Buys
semanticscholar   +1 more source