A CHARACTERIZATION OF SOME ORTHOGONAL GROUPS

Authors
SHI WJ TANG CY
Citation
Wj. Shi et Cy. Tang, A CHARACTERIZATION OF SOME ORTHOGONAL GROUPS, Progress in Natural Science, 7(2), 1997, pp. 155-162
Citations number
13
Categorie Soggetti
Multidisciplinary Sciences
Journal title
Progress in Natural Science → ACNP
ISSN journal
10020071
Volume
7
Issue
2
Year of publication
1997
Pages
155 - 162
Database
ISI
SICI code
1002-0071(1997)7:2<155:ACOSOG>2.0.ZU;2-9
Abstract
Let G be a group and let pi(e)(G) be the element orders set of G. For any subset Gamma of positive integers let h(Gamma) be the number of is omorphic classes of group G satisfying pi(e)(G) = Gamma. If G is finit e, it is proved that h(Gamma) is an element of {1, 2} for some orthogo nal groups M where Gamma = pi(e)(M).