Nearly odd-order and nearly real finite groups
作者:
David Chillag,
Avionam Mann,
期刊:
Communications in Algebra
(Taylor Available online 1998)
卷期:
Volume 26,
issue 7
页码: 2041-2064
ISSN:0092-7872
年代: 1998
DOI:10.1080/00927879808826261
出版商: Gordon and Breach Science Publishers Ltd.
数据来源: Taylor
摘要:
Two families of groups close to groups of odd order, and two families of groups close to real groups will be described. The first two are the family of finite groups in which all real irreducible ordinary characters are linear, and the family of all finite groups with the dual condition on the conjugacy classes, namely, groups in which all real conjugacy classes are contained in the center of the group. We will see that each group in one of these families is a direct product of a group of odd order with a 2-group.
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