The Normalizer Property for Integral Group Rings of Wreath Products of Finite Nilpotent Groups by Cyclic Groups

2011 ◽  
Vol 39 (2) ◽  
pp. 521-533 ◽  
Author(s):  
Zhengxing Li ◽  
Jinke Hai
Keyword(s):  
Nilpotent Groups ◽  
Wreath Products ◽  
Group Rings ◽  
Integral Group ◽  
Cyclic Groups ◽  
Integral Group Rings ◽  
The Normalizer Property

The normalizer property for integral group rings of holomorphs of finite nilpotent groups and the symmetric groups

2017 ◽  
Vol 16 (02) ◽  
pp. 1750025 ◽  
Author(s):  
Jinke Hai ◽  
Shengbo Ge ◽  
Weiping He
Keyword(s):  
Finite Group ◽  
Symmetric Group ◽  
Nilpotent Group ◽  
Symmetric Groups ◽  
Nilpotent Groups ◽  
Group Rings ◽  
Integral Group ◽  
Integral Group Rings ◽  
A Finite Group ◽  
The Normalizer Property

Let [Formula: see text] be a finite group and let [Formula: see text] be the holomorph of [Formula: see text]. If [Formula: see text] is a finite nilpotent group or a symmetric group [Formula: see text] of degree [Formula: see text], then the normalizer property holds for [Formula: see text].

The Normalizer Property for Integral Group Rings of Some Finite Nilpotent-by-Nilpotent Groups

2012 ◽  
Vol 40 (7) ◽  
pp. 2613-2627 ◽  
Author(s):  
Jinke Hai ◽  
Zhengxing Li
Keyword(s):  
Nilpotent Groups ◽  
Group Rings ◽  
Integral Group ◽  
Integral Group Rings ◽  
The Normalizer Property

scholarly journals Construction of units in integral group rings of finite nilpotent groups

1989 ◽  
Vol 20 (2) ◽  
pp. 165-169 ◽  
Author(s):  
Jürgen Ritter ◽  
Sudarshan K. Sehgal
Keyword(s):  
Nilpotent Groups ◽  
Group Rings ◽  
Integral Group ◽  
Integral Group Rings

Automorphisms of the integral group rings of some wreath products

1991 ◽  
Vol 19 (2) ◽  
pp. 519-534 ◽  
Author(s):  
Giambruno Antonio ◽  
Angela Valenti ◽  
Sudarshan K. Sehgal
Keyword(s):  
Wreath Products ◽  
Group Rings ◽  
Integral Group ◽  
Integral Group Rings

On the normalizer property for integral group rings

1999 ◽  
Vol 27 (9) ◽  
pp. 4217-4223 ◽  
Author(s):  
Yuanlin Li ◽  
S.K. Sehgal ◽  
M.M. Parmenter
Keyword(s):  
Group Rings ◽  
Integral Group ◽  
Integral Group Rings ◽  
The Normalizer Property

A note on the classgroup of integral group rings of some cyclic groups

Mathematika ◽  
1970 ◽  
Vol 17 (1) ◽  
pp. 79-81 ◽  
Author(s):  
S. Ullom
Keyword(s):  
Group Rings ◽  
Integral Group ◽  
Cyclic Groups ◽  
Integral Group Rings

scholarly journals Involutions and free pairs of bicyclic units in integral group rings of non-nilpotent groups

2015 ◽  
Vol 143 (6) ◽  
pp. 2395-2401
Author(s):  
J. Z. Gonçalves ◽  
D. S. Passman
Keyword(s):  
Nilpotent Groups ◽  
Group Rings ◽  
Integral Group ◽  
Integral Group Rings ◽  
Bicyclic Units
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