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Groups in Galway 2017

18-20 May, 2017

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 NUI Galway is committed to equality of opportunity for all staff, students and visitors irrespective of sex, marital status, family status, sexual orientation, religious belief, age, disability, race, colour, nationality or ethnic or national origin, membership of the travelling community or perceived political belief or affiliation. who are interested are invited to attend. There is no conference fee. The web page of last year's Groups in Galway conference is located here.


Confirmed speakers at the moment include


Below is a tentative schedule which may still change but only minimally.

Move the cursor over a title for a short abstract.

Thursday 18 May

14.00‒14.45 Conchita Martínez-Pérez TBA

15.00‒15.45 Markus Szymik TBA

15.45‒16.30 Coffee/tea

16.30‒17.15 Derek Holt TBA

17.30 Wine reception & book launch

Friday 19 May

10.00‒10.45 Łukasz Grabowski Characterizing amenable groups via measurable variants of the Lovász Local Lemma

10.45‒11.30 Coffee/tea

11.30‒12.15 Colva Roney-Dougal Generating sets of finite groups It is well known that generating sets for groups are far more complicated than generating sets for, say, vector spaces. The latter satisfy the exchange axiom, and hence any two irredundant sets have the same cardinality. According to the Burnside Basis Theorem, a similar property holds for groups of prime power order.

We define a new sequence of relations on the elements of a finite group, one for each positive integer $r$, where two elements of a finite group are equivalent if each can be substituted for the other in any $r$-element generating set. These relations become finer as $r$ increases: we define a new numerical group invariant to be the value of $r$ at which they stabilise. We are able to characterise this value of $r$ for all soluble groups, and give upper and lower bounds for all finite groups.

The generating graph of a $2$-generated finite group is a graph whose vertices are the group elements, and whose edges are the $2$-element generating sets. Our new relations yield a precise description of the automorphism group of the generating graph of any finite soluble group with nonzero spread.

12.30‒13.15 Karel Dekimpe The $R_\infty$-property for nilpotent and solvable quotients of groups

13.15‒14.30 Lunch

14.30‒15.15 Juan Souto TBA

15.30‒16.15 Damian Osajda Group cubization

16.15‒17.00 Coffee/tea

17.00‒17.45 Martin Newell TBA

19.00 Conference Dinner (The House Hotel)

Saturday 20 May

10.00‒10.45 Péter Pálfy Elliptic curves and finite $p$-groups

10.45‒11.15 Coffee/tea

11.15‒12.00 Eric Swenson Two shall be the number of the counting In ancient times, Brian Bowditch showed that if the boundary of a one-ended hyperbolic group has a local cut point $p$, then $p$ is part of a cut pair, and the group virtually splits over virtually $\mathbb{Z}$.

We show that if the boundary of a one ended $\mathrm{CAT}(0)$ group $G$ is separated by a finite subset then it is separated by a cut pair, and $G$ virtually splits over virtually $\mathbb{Z}$. We also examine nesting actions on $\mathbb{R}$-trees (because they wouldn't get out of the way).

12.15‒13.00 Arnold Feldman TBA


There is no registration fee but for making dinner arrangements and pleasing our generous sponsors it would be nice if anybody who wants to participate and join the conference dinner could please send an email to Dieter Degrijse (dieter dot degrijse at nuigalway dot ie) with subject line "gig2017 registration", indicating your name, affiliation and whether you want to join the conference dinner, including special dietary requirements if applicable.


We have limited funding for postgraduate students and early career researchers. If you want to be considered for support, please send us the registration email with your CV by 20 April 2017.


There are regular rail connections from Dublin to Galway, and bus connections from all Irish cities and towns.
From Dublin airport there are also direct busses to Galway operated by Citylink and GoBus.

Directions to NUI Galway by road can be found here .
NUI Galway has a number of pay-and-display parking places for visitors. Cars parked in other spaces on the NUI Galway campus and not displaying a valid parking permit will be clamped.


The following hotels and guest houses are convenient for the NUI Galway campus:

Please contact Ireland West for further information about accommodation near NUI Galway.

For further information, please keep an eye on this website which will be updated regularly, or contact the organisers Dieter Degrijse and Claas Röver.

Groups in Galway 2017 is generously supported by