# METROPLEX AGANT SEMINAR

### (Algebraic Geometry, Algebra and Number Theory Seminar)

a joint venture of UNT, UTA and TCU

*``Indecomposable **p*-algebras''

**Abstract:** A *p*-algebra is a finite dimensional division
algebra of *p*-power degree over a field of characteristic *p*
for *p* any prime. At one point, it was conjectured that all
*p*-algebras were in fact cyclic algebras. In this talk, we will
discuss the counter example to this conjecture, which is due to Amitsur
and Saltman, and talk about how this example can be used to construct
indecomposable *p*-algebras of exponent *p* and arbitrarily high
degree.

Please mention/email this talk to any interested parties
and to your students if you are teaching an advanced undergraduate algebra
class or a graduate algebra class.

^{1}Driving & Parking (Revised Jan 12, 2006)

If you are travelling from out of town, then a map of UTA may be found at
http://www.uta.edu/maps/. Note that
PKH is the triangular building in the central-campus region of the map.
Click on central campus to zoom in, & PKH is in the SE corner of that
submap, next to the "garage" & is on Nedderman Drive between College St
(aka Planatarium Place) & West St.
West St is one-way northbound between W Mitchell St & 3rd St. Parking
is available in the nearby (East & SE of PKH) parking lots with a UTA
permit (but many people park there late on Fridays with no permit & are
not caught). There are a few metered parking spots on the East side of
Pickard Hall on West St. Visitor (free), & metered, parking is available
by Davis Hall (marked DH in SW part of the submap). A parking garage
(expensive) is nextdoor to PKH (use West St to get to it). Note that if
heading south on Cooper, then no left turn is allowed to Nedderman Dr.
Recommended route from UNT: eventually head south on Hwy 360 (or Industrial
Blvd = Collins), West on Abram, south (left) on Center, West (right) on
W Mitchell. Then use map. Alternatively, get to I30 heading East, & follow
directions from TCU given below. From TCU: east on I30, exit Cooper, South
on Cooper, left (East) on W Mitchell, then use map. (Note that Nedderman
Drive between West St & Pecan St is permanently closed.)

Note that PKH 487 is on the 4th floor of PKH; turn right out of elevator
on 4th floor.

Questions, etc on arrangements/directions? Contact Michaela Vancliff. Please notify
us if coming from out of town, since, if you are a little late, we will
delay the start of the talk for you.