A note on groups in which the centraliser of every element of order 5 is a 5-group

Details A note on groups in which the centraliser of every element of order 5 is a 5-group A note on groups in which the centraliser of every element of order 5 is a 5-group

2011-03-18

arxiv.org/abs/1103.3581v2

Mathematics

Group Theory

Scientific paper

The main theorem in this article shows that a group of odd order which admits the alternating group of degree 5 with an element of order 5 acting fixed point freely is nilpotent of class at most two. For all odd primes r, other than 5, we give a class two r-group which admits the alternating group of degree 5 in such a way. This theorem corrects an earlier result which asserts that such class two groups do not exist. The result allows us to state a theorem giving precise information about groups in which the centralizer of every element of order 5 has centralizer a 5-group.

Affiliated with

Also associated with

No associations

Rating

A note on groups in which the centraliser of every element of order 5 is a 5-group 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 A note on groups in which the centraliser of every element of order 5 is a 5-group, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A note on groups in which the centraliser of every element of order 5 is a 5-group will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-184723