Cyclic Neofields and Combinatorial Designs
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824 D. Frank Hsu
Cyclic Neofields and Combinatorial Designs
Springer-Verlag Berlin Heidelberg New York 1980
Author D. Frank Hsu Department of Mathematics Fordham University Bronx, NY 10458 USA
AMS Subject Classifications (1980): 05 B05, 05 B 10, 05 B 20, 05 C 20, 12-02, 12K99 ISBN 3-540-10243-4 Springer-Verlag Berlin Heidelberg New York ISBN 0-38?-10243-4 Springer-Verlag New York Heidelberg Berlin This work is subject to copyright. All rights are reserved, whether the whole or part of the material is concerned, specifically those of translation, reprinting, re-use of illustrations, broadcasting, reproduction by photocopying machine or similar means, and storage in data banks. Under § 54 of the German Copyright Law where copies are made for other than private use, a fee is payable to the publisher, the amount of the fee to be determined by agreement with the publisher. © by Springer-Verlag Berlin Heidelberg 1980 Printed in Germany Printing and binding: Beltz Offsetdruck, Hemsbach/Bergstr. 2141/3140-543210
Preface The aim of this m o n o g r a p h of the s t r u c t u r e their made
theory
applications
of cyclic
to various
to keep this m o n o g r a p h A glance
little
necessary
and g e n e r a l There other
at the Table
associativity
written
prerequisite
course
Examples absorb
a
are given
the theory
for the material,
in a l g e b r a
covering
acquaintance
at the U n i v e r s i t y
of P r o f e s s o r
with
non-
combinatorics
Thanks
David W i n t e r
Thomas
are taken
from my
of M i c h i g a n
under
F. Storer.
me to the w o n d e r f u l
and c o m b i n a t o r i c s ,
monograph
been
as possible.
will reveal
contains.
of this m o n o g r a p h
him for i n t r o d u c i n g
advice.
has
theory.
supervision
theory
An attempt
the r e a d e r s
and a m i n i m a l
Some parts thesis
and to show
constructions.
a graduate
and n u m b e r
areas.
of Contents
to help
is no formal
than
neofields
an account
as s e l f - c o n t a i n e d
of what the m o n o g r a p h
Wherever
is to present
I w i s h to thank
world
of cyclotomy
and for his e n c o u r a g e m e n t
are also due to P r o f e s s o r s
and Katta Murty
and m a d e
the
a number
who read of useful
Donald
and
J. Lewis,
an early draft suggestions.
of this
TABLE
Preface Table
of
OF
CONTENTS
.............................................. contents
Introduction
...................................
ii iii
..........................................
I
CHAPTER I.
Ii.
Ill.
ADDITIVE
STRUCTURE
i.
Preliminary
2.
XMP-
3.
XIP-admissible
TYPE
a)
and
Additive
2.
Non-existence
3.
Construction
Construction
in
Theorems
of
of
Zv_ I
.........
6
.........
6
of
Z
... V-!
..........
..........................
Structure
OF T Y P E
Results
Partitions
Partitions
of
NEOFIELDS
and
LXP-admissible
XIP-NEOFIELDS
CONSTRUCTION
CYCLIC
Definitions
i.
i.
IN
Type b)
a)
SlP-ne~fie!ds and
the
iii)
Constructions
XIP-neofields
XIP-NEOFIELDS
Even
Order
.
Data Loading...
