Mathematics – Group Theory
Scientific paper
2004-05-17
Mathematics
Group Theory
Scientific paper
Some properties of abnormal subgroups in generalized soluble groups will be considered. In particular, the transitivity of abnormality in metahypercentral groups is proven. Also it will be proven that a subgroup H of a radical group G is abnormal in G if and only if every intermediate subgroup for H coincides with its normalizer in G. This result will extend on radical groups the well-known criterion of abnormality for finite soluble groups obtained by D. Taunt. For some infinite groups (not only periodic) the existence of Carter subgroups and their conjugations will be also proven.
Kurdachenko Leonid A.
Subbotin Igor Ya.
No associations
LandOfFree
Abnormal subgroups and Carter subgroups in some infinite groups does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Abnormal subgroups and Carter subgroups in some infinite groups, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Abnormal subgroups and Carter subgroups in some infinite groups will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-366455