scholarly journals Morphisms of Mislin genera induced by finite normal subgroups

2002 ◽  
Vol 32 (5) ◽  
pp. 281-284 ◽  
Author(s):  
P. J. Hilton ◽  
P. J. Witbooi
Keyword(s):  
Normal Subgroups ◽  
Correct Statement ◽  
Erroneous Statement

We correct an erroneous statement about induced morphisms of Mislin genera and give the correct statement, even under more general hypotheses.

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.

scholarly journals GETTING BUTTERFLY EGGS

1892 ◽  
Vol 24 (3) ◽  
pp. 70-74
Author(s):  
W. G. Wright
Keyword(s):  
Correct Statement ◽  
To Receive

It is generally understood, I believe, that to get eggs the requisite plant must be also enclosed in the gauze bag with the female insect. Such is often, but not always the fact, and it will lighten the labours of the biologist and simplify his methods if a more correct statement be made. That one genus of butterflies should not use or require living plants to receive their eggs, while others will fret and die without ovipositing if their peculiar plant be withheld, indicates a relationship, or gives a hint as to grouping of genera upon natural lines.

Quasi-normal subgroups of algebraic groups

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

Normal Subgroups of Hecke Groups H(λ)

2009 ◽  
Vol 13 (2) ◽  
pp. 219-230 ◽  
Author(s):  
Özden Koruoğlu ◽  
Recep Sahin ◽  
Sebahattin İkikardes ◽  
Ismail Naci Cangül
Keyword(s):  
Normal Subgroups ◽  
Hecke Groups
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