Groups in Galway 2018
May 1819, 2018
Groups in Galway has been running on an annual basis since 1978.
The scope of the conference covers all areas of group theory,
applications, and related fields. All
who are interested are invited to attend.
Speakers
A tentative roster of speakers is

Rob Craigen (Manitoba)

Ronan Egan (Rijeka)

Bettina Eick (Braunschweig)

Daniel Horsley (Monash)

Eoin Long (Oxford)

Maura Paterson (Birbeck)

Götz Pfeiffer (Galway)

John Sheekey (UCD)

Ann Trenk (Wellesley)
Schedule
Below is a tentative schedule.
All talks will be in AC201 on the concourse of the Arts/Science Building (number 14 on this map).
Move the cursor over a title for a short abstract.
Friday 18 May
10.00‒10.45
John Sheekey
TBA
TBA
10.45‒11.30
Coffee/tea
11.30‒12.15
Eoin Long
TBA
TBA
12.30‒13.15
Maura Paterson
TBA
TBA
13.15‒14.30
Lunch
14.30‒15.15
Daniel Horsley
Symmetric coverings and the BruckRyserChowla theorem
A $(v,k,\lambda)$block design is a collection of $k$element subsets, called blocks, of a $v$set of points such that each pair of points appears together in exactly $\lambda$ blocks. A block design is symmetric if it has exactly as many blocks as points. The BruckRyserChowla theorem famously establishes the nonexistence of various symmetric block designs, including projective planes.
In this talk I will discuss generalisations of the BruckRyserChowla theorem to the setting of coverings where, instead of demanding that each pair of points appears together in exactly some fixed number of blocks, we only require that each pair of points appear together in at least some fixed number of blocks. The proofs of these generalisations exploit the structure of $XX^T$, where $X$ is the incidence matrix of a putative covering. In some cases it is sufficient to examine the determinants of these matrices. In others, arguments concerning rational congruence of matrices and making use of HasseMinkowski invariants are required.
15.30‒16.15
Bettina Eick
The groups of order $p^n q$
The talk shows how the number $f_n(p,q)$ of groups of order
$p^n q$ for different primes $p$ and $q$ can be determined (for
fixed $n$ as a function in $p$ and $q$). Explicit functions for $f_n$
for $n \leq 5$ are exhibited.
16.15‒17.00
Coffee/tea
17.00‒17.45
Götz Pfeiffer
TBA
TBA
19.00
Conference Dinner
Saturday 19 May
10.00‒10.45
Ronan Egan
Using groups to construct combinatorial structures and codes
In this talk I will discuss methods of constructing combinatorial structures such as block designs from finite groups and using orbit matrices. I will also describe recent and ongoing work where generalized versions of orbit matrices are constructed from Hadamard matrices and weighing matrices using their permutation automorphism groups. This leads to the construction of selforthogonal, selfdual, optimal and near optimal codes over finite fields.
10.45‒11.15
Coffee/tea
11.15‒12.00
Rob Craigen
TBA
TBA
12.15‒13.00
Ann Trenk
TBA
TBA
Registration
There is no registration fee. However, if you intend to participate in the
conference, please send an email to the organizers Kevin Jennings and Dane Flannery, stating your full name, affiliation, and whether you will attend the Dinner.
Travel
Galway can be reached by public transportation from Dublin, Shannon, and Knock
airports. There are direct buses from Dublin airport to Galway city
operated by Citylink
and GoBus. You can also take a
train from Dublin city. Bus Eireann
runs buses from Dublin, Shannon, and Knock airports to Galway.
Directions to NUI Galway by road can be found
here.
Galway is a small city. It takes about 15 minutes to walk from the Coach Station or Railway Station to the university (Google maps direction).
NUI Galway has a number
of payanddisplay
parking places for visitors. Cars parked in other spaces on the NUI
Galway campus and not displaying a valid parking permit will be
clamped.
Accommodation
The following hotels and guest houses are convenient for the NUI Galway campus:
 The Westwood House Hotel,
091 521442
 The House Hotel,
091 538900
 Bologna B&B, 091 523792
 Aneesha B&B, 091 524250
 Ashgrove House B&B, 091 581291
 Villanova B&B, 091 524849
 Coolavalla B&B, 091 522415
 Rosgal B&B, 091 524723
 De Sota B&B, 091 585064
See also Discover Ireland.
For further information, contact Kevin Jennings
or Dane Flannery.
Groups in Galway 2018 is supported by