2015
DOI: 10.1515/jgth-2015-0017
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New examples of mixed Beauville groups

Abstract: We generalise a construction of mixed Beauville groups first given by Bauer, Catanese and Grunewald. We go on to give several examples of infinite families of characteristically simple groups that satisfy the hypotheses of our theorem and thus provide a wealth of new examples of mixed Beauville groups.

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Cited by 6 publications
(6 citation statements)
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“…As far as the author is aware, the most recent general discussion of examples of mixed Beauville groups is given by the author and Pierro in [24] (though none of the Beauville groups constructed in [24] are even soluble, let alone are p-groups).…”
Section: Some Of the Earliest Examples Of Beauville 2-groups Were Constructed In An Effortmentioning
confidence: 99%
“…As far as the author is aware, the most recent general discussion of examples of mixed Beauville groups is given by the author and Pierro in [24] (though none of the Beauville groups constructed in [24] are even soluble, let alone are p-groups).…”
Section: Some Of the Earliest Examples Of Beauville 2-groups Were Constructed In An Effortmentioning
confidence: 99%
“…There also exists a concept of Beauville surfaces of mixed type in which the action of G interchanges the two curves C 1 and C 2 but these are much harder to construct and we shall not discuss these here. (For further details of the mixed case, the most up-to-date information at the time of writing may be found in the work of the author and Pierro in [25]. )…”
Section: Preliminariesmentioning
confidence: 99%
“…In [29] the author and Pierro prove a slight generalisation of Lemma 6.4 that replaces the cyclic group of order 4 with the dicyclic group of order 4k defined by the presentation…”
Section: The Mixed Casementioning
confidence: 99%