We classify all skew braces of Heisenberg type for a prime number p. Furthermore, we determine the automorphism group of each one of these skew braces (as well as their socle and annihilator). Hence, by utilising a link between skew braces and Hopf–Galois theory, we can determine all Hopf–Galois structures of Heisenberg type on Galois field extensions of fields of degree p3
AbstractLet L/K be a finite separable field extension, and let E be the normal closure of L/K. Let G...
This is the author accepted manuscript. The final version is available from Elsevier via the DOI in ...
A Hopf Galois structure on a finite field extension L/K is a pair (H,µ), where H is a finite cocommutat...
Doctoral Training GrantThe concept of Hopf-Galois extensions was introduced by S. Chase and M. Sweed...
Given a finite group G, we study certain regular subgroups of the group of permutations of G, which ...
AbstractWe determine all Hopf–Galois structures on a Galois extension of fields of degree pq, where ...
We determine the Hopf Galois structures on a Galois field extension of degree twice an odd prime squ...
We construct all skew braces of size pq (where p > q are primes) by using Byott’s classification of ...
We present a different point of view on the well-known connection between Hopf--Galois structures an...
Let p,q be distinct primes, with p>2. We classify the Hopf-Galois structures on Galois extensions...
Given a finite group G, we study certain regular subgroups of the group of permutations of G, which ...
AbstractWe determine all Hopf–Galois structures on a Galois extension of fields of degree pq, where ...
We describe all Fp-braces of cardinality p4 which are not right nilpotent. The constructed braces a...
We define combinatorial representations of finite skew braces and use this idea to produce a databas...
AbstractLetpbe an odd prime andna positive integer and letkbe a field of characteristic zero. LetK=k...
AbstractLet L/K be a finite separable field extension, and let E be the normal closure of L/K. Let G...
This is the author accepted manuscript. The final version is available from Elsevier via the DOI in ...
A Hopf Galois structure on a finite field extension L/K is a pair (H,µ), where H is a finite cocommutat...
Doctoral Training GrantThe concept of Hopf-Galois extensions was introduced by S. Chase and M. Sweed...
Given a finite group G, we study certain regular subgroups of the group of permutations of G, which ...
AbstractWe determine all Hopf–Galois structures on a Galois extension of fields of degree pq, where ...
We determine the Hopf Galois structures on a Galois field extension of degree twice an odd prime squ...
We construct all skew braces of size pq (where p > q are primes) by using Byott’s classification of ...
We present a different point of view on the well-known connection between Hopf--Galois structures an...
Let p,q be distinct primes, with p>2. We classify the Hopf-Galois structures on Galois extensions...
Given a finite group G, we study certain regular subgroups of the group of permutations of G, which ...
AbstractWe determine all Hopf–Galois structures on a Galois extension of fields of degree pq, where ...
We describe all Fp-braces of cardinality p4 which are not right nilpotent. The constructed braces a...
We define combinatorial representations of finite skew braces and use this idea to produce a databas...
AbstractLetpbe an odd prime andna positive integer and letkbe a field of characteristic zero. LetK=k...
AbstractLet L/K be a finite separable field extension, and let E be the normal closure of L/K. Let G...
This is the author accepted manuscript. The final version is available from Elsevier via the DOI in ...
A Hopf Galois structure on a finite field extension L/K is a pair (H,µ), where H is a finite cocommutat...
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