Permutation groups through invariant relations and invariant functions

By H. Wielandt. 1969

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Citations in the corpus

Equivariance Through Parameter-Sharing (2017, background): “Permutation groups (cid:71) that can be expressed in this way are called 2-closed groups (Wielandt, 1969).”
Quasiprimitive Groups with No Fixed Point Free Elements of Prime Order (2003, background): “See Wielandt [13] for more details on the concept Received 24 April 2001; revised 17 January 2002.”
Automorphisms of graphs (2003, unknown): “These concepts was introduced by Wielandt [56].”
Between primitive and 2-transitive: Synchronization and its friends (2015, background): “(b) A theorem of Wielandt [114] asserts that a primitive group G of degree p(2), where p is prime, satisfies one of the following: G is affine; G is contained in Sp wr S2; or G is 2-transitive.”
Transitive Permutation Groups Without Semiregular Subgroups (2002, background): “Thus by Wielandt’s Dissection Theorem [25, Theorem 6.5], the 2-closure of G contains A6 × A6. q 6.”
Coherent configurations (1975, background): “The Schur relations are established and applied to obtain general versions of results of Frame [7] and Wielandt [19] in Section 3, and in Section 6 to obtain a general version of the Krein condition of L. L. Scott Jr. [16].”
On the Universality of Invariant Networks (2019, background): “Groups for which the condition in theorem 3 holds are called 2-closed and were first introduced by (Wielandt, 1969) (see (Babai, 1995) for further study).”
On the orders of primitive groups (2002, methodology): “Based on Wielandt’s method [20] of bounding the orders of Sylow subgroups Praeger and Saxl [16] obtained an exponential estimate, 4, where n is the degree of the permutation group.”
A Solution of the Isomorphism Problem for Circulant Graphs (2004, background): “In fact this conjecture goes back to Schur who thought that every S-ring over a 4nite group is Schurian (see [42]).”