scholarly journals Normal subgroups generated by a single pure element in quaternion algebras

2006 ◽  
Vol 305 (1) ◽  
pp. 130-145 ◽  
Author(s):  
Louis Rowen ◽  
Yoav Segev
Keyword(s):  
Normal Subgroups ◽  
Pure Element ◽  
Quaternion Algebras

scholarly journals Quaternion Algebras

2021 ◽  
Author(s):  
John Voight
Keyword(s):  
Quaternion Algebras

scholarly journals On split quaternion equivalents for Quaternaccis, shortly Split Quaternaccis

2021 ◽  
Vol 19 (1) ◽  
pp. 583-599
Author(s):  
Beata Bajorska-Harapińska ◽  
Jakub Jan Ludew ◽  
Barbara Smoleń-Duda ◽  
Roman Wituła
Keyword(s):  
Generating Functions ◽  
Split Quaternion ◽  
Quaternion Algebras

Abstract In this paper, we introduce generalizations of Quaternacci sequences (Quaternaccis), called Split Quaternacci sequences, which arose on a base of split quaternion algebras. Explicit and recurrent formulae for Split Quaternacci sequences are given, as well as generating functions. Also, matrices related to Split Quaternaccis sequences are investigated. Moreover, new identities connecting Horadam sequences with other known sequences are generated. Analogous identities for Horadam quaternions and split Horadam quaternions are proved.

scholarly journals On F-Normal Subgroups of Finite Soluble Groups

1995 ◽  
Vol 171 (1) ◽  
pp. 189-203 ◽  
Author(s):  
A. Ballesterbolinches ◽  
K. Doerk ◽  
M.D. Perezramos
Keyword(s):  
Normal Subgroups ◽  
Soluble Groups

scholarly journals Normal subgroups of diffeomorphism and homeomorphism groups of ℝn and other open manifolds

2011 ◽  
Vol 31 (6) ◽  
pp. 1835-1847 ◽  
Author(s):  
PAUL A. SCHWEITZER, S. J.
Keyword(s):  
Normal Subgroup ◽  
Compact Manifold ◽  
Normal Subgroups ◽  
Open Manifold ◽  
Open Manifolds ◽  
Group Of Homeomorphisms ◽  
Homeomorphism Groups

AbstractWe determine all the normal subgroups of the group of Cr diffeomorphisms of ℝn, 1≤r≤∞, except when r=n+1 or n=4, and also of the group of homeomorphisms of ℝn ( r=0). We also study the group A0 of diffeomorphisms of an open manifold M that are isotopic to the identity. If M is the interior of a compact manifold with non-empty boundary, then the quotient of A0 by the normal subgroup of diffeomorphisms that coincide with the identity near to a given end e of M is simple.

scholarly journals Polygonal products of polycyclic by finite groups

1996 ◽  
Vol 54 (3) ◽  
pp. 369-372 ◽  
Author(s):  
R.B.J.T. Allenby
Keyword(s):  
Finite Groups ◽  
Cyclic Subgroup ◽  
Substantial Improvement ◽  
Normal Subgroups ◽  
Recent Theorem

We prove that a polygonal product of polycyclic by finite groups amalgamating normal subgroups, with trivial mutual intersections, is cyclic subgroup separable. Because of a recent example (stated below) of the author this substantial improvement on a recent theorem of Kim is essentially best possible.

Bounds for the Number of Conjugacy Classes of Non-Normal Subgroups in a Finitep-Group

2009 ◽  
Vol 37 (11) ◽  
pp. 3928-3942
Author(s):  
Gustavo A. Fernández-Alcober ◽  
Leire Legarreta
Keyword(s):  
Conjugacy Classes ◽  
Normal Subgroups

scholarly journals On CSQ-normal subgroups of finite groups

2016 ◽  
Vol 14 (1) ◽  
pp. 801-806
Author(s):  
Yong Xu ◽  
Xianhua Li
Keyword(s):  
Finite Groups ◽  
Normal Subgroups ◽  
Sylow Subgroups

Abstract We introduce a new subgroup embedding property of finite groups called CSQ-normality of subgroups. Using this subgroup property, we determine the structure of finite groups with some CSQ-normal subgroups of Sylow subgroups. As an application of our results, some recent results are generalized.

Lattice Subgroups of Normal Subgroups of Genus Zero of the Modular Group

1972 ◽  
Vol s3-24 (3) ◽  
pp. 449-469 ◽  
Author(s):  
A. W. Mason
Keyword(s):  
Modular Group ◽  
Normal Subgroups ◽  
Genus Zero ◽  
Lattice Subgroups

Quasi-normal subgroups of algebraic groups

1985 ◽  
Vol 45 (1) ◽  
pp. 8-11
Author(s):  
Claus Scheiderer
Keyword(s):  
Algebraic Groups ◽  
Normal Subgroups
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