╨╧рб▒с>■ *,■ ) ье┴Y ┐┴
bjbjєWєW С=С=┴ ]ЦЦЦЦЦЦЦккккк╢кч╢╓╓╓╓╓╓╓╓моооооо$ЭЇСЖ╥Ц╓╓╓╓╓╥@ЦЦ╓╓╓@@@╓jЦ╓Ц╓мккЦЦЦЦ╓м@l@мЦЦм╓╩а─пВ┴кк@мGood day.
I am requesting that the accompanying paper, "Two Quasi p-groups" be submitted to the RHIT Mathematics
Journal.
This is the result of research I did in the summer of 2001 with a Greaves Summer Fellowship at Northern
Kentucky University. At the time I was between by sophomore and junior years. I had been interested in
Group Theory siccne Abstract Algebra 1 the fall before, and upon learning of the program, my advisor, Dr.
Chris Christensen, told me of quasi p-groups. I then set out to find and classify all of the quasi p-groups of
order less than 24.
Abstract: Recently, I set out to find and classify all the quasi p-groups of order less than 24. For most groups
of order less than 24, it was easy to check whether or not the group was a quasi p-group for some prime p.
But there were two of these groups, one of order 18 and one of order 20, that required much more thought
and analysis. The analysis of these two groups explores the interesting structure of the semidirect product.
The purpose of this paper is to examine these two groups and show that they are both quasi 2-groups.
Thank you very much,
Ben Harwood
-------
Ben Harwood has (or will soon) submit to you a paper entitled "Two quasi
2-groups."
Ben is a NKU sophomore.
This paper is a portion of work that resulted from Ben's Greaves'
Undergraduate Summer Research project which he completed last summer under
my direction. As part of his work, Ben determined for each of the groups
of order less than 24 whether the group was a quasi p-group for some prime
p or not. Most of this work has been submitted elsewhere. Ben has
selected these two groups to discuss at your next student conference;
therefore, he has written them up separately and submitted to you. He will
reference these proofs in his other paper.
This work is original with Ben. It seems that not many people are aware of
quasi p-groups. Ben was able, using mostly results common in an
undergraduate algebra course, to classify these groups of small order. I
think that his results are very interesting. The one exception to Ben's
using undergraduate algebra material is that it was necessary for him to
learn about semidirect products. This paper heavily uses that idea.
If used in the article, my name should appear as Chris Christensen and my
e-mail address as christensen@nku.edu.
Thanks.
Chris Christensen
Professor of Mathematics
Northern Kentucky University
christensen@nku.edu
859-572-6672
-------
┴
s|}хL╢%:;=>░ЕЇZ[pq}Е╧┌█єЇ7 ¤¤¤¤¤¤¤¤¤¤¤¤¤¤¤¤¤¤¤¤¤¤¤¤¤¤¤¤¤s|}хL╢%:;=>░ЕЇZ[pq}Е╧┌█єЇ7 Г ╬
_
ж
є
lо∙CН╥╙
E
F
N
O
a
z
Ч
л
╕
╣
┴
87 Г ╬
_
ж
є
lо∙CН╥╙
E
F
N
O
a
z
Ч
л
╕
╣
┴
¤¤¤¤¤¤¤¤¤¤¤¤¤¤¤¤¤¤¤¤¤¤¤¤¤¤¤░╨/ ░р=!░"░#Ра$Ра%░
[(@ё (NormalCJmH <A@Є б<Default Paragraph Font┴ ┴
7 ┴
┴
┐╞Y_▀щu|ЙР-4Щг╣ └ ├ roger lautzenheiserC:\WINDOWS\DESKTOP\corresp.doc @А└ └ ░└ ╣ ┴ p@GРЗ: Times New Roman5РАSymbol3&РЗ: Arial"qИ╨h.]\F0]\Fi$е└┤┤А0р Good dayroger lautzenheiserroger lautzenheiser■ рЕЯЄ∙OhлС+'│┘0pИРд░╠╪ш
,8
DPX`hф Good day oodroger lautzenheiserogeNormalaroger lautzenheiser1geMicrosoft Word 8.0@МЖG@|№┐оВ┴@ГпВ┴i■ ╒═╒Ь.УЧ+,∙оD╒═╒Ь.УЧ+,∙оThpЬдм┤╝─╠╘
▄ёф$rose-hulman institute of technologyр 1 Good dayTitleШ 6>
_PID_GUIDфAN{352374E9-EE78-11D5-A2EB-444553540000}
■ ■ ■ "#$%&'(■ ¤ +■ ■ ■ Root Entryм8IЁ┐Hа╛HРМHTшEФшE └FА√гпВ┴А╧╘пВ┴-АЁ╢H1TableH WordDocument┼
а\mK@┴Hъ:iв╪ рO╨ ъ:iв╪+00Э%D:\ ▄;ISummaryInformation%▄;I6ЁрO╨ ( :\!▄;I6ЁрO╨ +00ЭDocumentSummaryInformation:\8 &Ё!CompObj jObjectPool А╧╘пВ┴А╧╘пВ┴ ■ ■
└FMicrosoft Word Document
MSWordDocWord.Document.8Ї9▓q