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NT & Math Crypto 2016g
Aut2019: MAS4301 09B1 (16963) Abstract.Algebra.1 MWF5 [11:45-12:35] LIT219 (SW)
(abstract) Algebra 1
Our Teaching Page
has useful information for students in all of my classes.
It has my schedule,
and Usually Useful Pamphlets.
One of them is the
which gives pointers on what I consider to be good mathematical
Further information is at our
(I email this private URL directly to students).
are like nitroglycerin, in that one little mis-step leads to the whole
thing blowing up in your face.
There is no partial credit when it comes to Explosives and Quantifiers.
In all of my courses,
attendance is absolutely required
(excepting illness and religious holidays).
In the unfortunate event that you miss a class, you are
responsible to get all
Notes / Announcements / TheWholeNineYards
from a classmate, or several.
All my classes have a
- We'll start using the notation of the
commutator of two elements
in class. We are heading towards
an application of Orb-Stabilizer.
- Our TicTacToe-ish
Home-B was pictorial, and now has solns.
It wouldn't surprise me if you are curious about
Enumerating TTT-automorphisms for 4x4,
and the reasoning involved.
While we're on this topic,
I'm looking for suggestions on clever names for some of the
4x4 TTT-automorphism pictures.
The nifty Class-B
now has all solns. Please go over it in detail.
- Available are
illustrative solns to some HW problems from Gallian.
- Our thought-provoking
has complete solns.
(Slightly updated, Tuesday, 01Oct2019.)
Wikipedia page on permutations
is useful, as is
that the order of a subgp divides the order of the enclosing group.
old notes on permutations
use different convensions from what Gallian and we are using
this semester, but I want to refer to it in class today.
The thrilling Class-A
now has complete solns.
- In one convenient location:
Alg quizzes so far (pdf),
quizzes link, please have read the binomial/multinomial conventions
on page 2, together with Operations on Sets.
- Slightly expanding Ring Notes,
Group Notes (pdf).
Burnside's lemma and
its application to
- In order to facilitate for students posting solns to our Archive,
in addition to Gallian, we will use
Abstract Algebra: Theory and Applications by
Thomas Judson (2016 Edition),
an online text made publicly available by its author. Students will be posting solns
both from their edition of Gallian, as well as Judson text, as well as any interesting
algebra problems students create.
Here is the first posting assignment for the weekend of Sept. 7,8.
- Does Zero = One? (pdf).
Here are some
proofs poofs about which you can post to our Archive.
- Nostalgic?, see the
2008g, 2005t, 2003g page.
- [Old] Have
read and throughly understood
(up through “Equivalent predicates...”).
- [Old] Have
learned the Math-Greek alphabet (pdf).
which we will use in class frequently.
- [Old] You looked at this
to see what you might want to review.
As the semester progresses, you will also need to print-out a few pages of
handouts that I have prepared for you.
We will cover some material that is not in our text; in
particular, applications of group-theory for solving certain
games and puzzles.
Our textbook is
Contemporary Abstract Algebra
|Author: ||Joseph A. Gallian
||Publisher: ||Houghton Mifflin
available from the publisher
as well as from online booksellers.
The various Math czars who help out.
Individual Algebra Project [IAP]
There will be a
to be done individually.
It will be due,
my office door (Little Hall 402, Northeast corner)
2PM, Thursday, 05Dec2019
The project must be carefully typed and
At all times have a paper copy you can hand-in; I do
Print out a copy each day, so that you always have the latest version to
hand-in; this, in case your printer or computer fails.
(You are too old for
My dog ate my homework.)
Please follow the guidelines on the
(pdf, 3pages) to earn full credit.
JK Home page