Automorphism groups
Commensurability of automorphism groups
... the automorphism group of the ...class groups of “random” algebraic number fields, are, as we intend to show, a special case of this rule, provided that one passes to Arakelov class ...class groups ...
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Folding Alternant and Goppa Codes with Non-Trivial Automorphism Groups
... Some significant research efforts have been put recently in code-based cryptography to reduce by a large factor the public key sizes. This has resulted in keys which are now only a few times larger than RSA keys (see ...
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Endomorphisms of Fraïssé limits and automorphism groups of algebraically closed relational structures
... We are, however, able to gain some information on triangle-free graphs with property ? and their automorphism groups. In the remainder of this chapter we will provide partial classification results on the ...
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The structure of automorphism groups of semigroup inflations
... The automorphism groups of many important specific semigroups are described (see, for example, [7] and references ...semi- groups of rather diverse nature the automorphism groups have ...
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Automorphism groups of countable algebraically closed graphs and endomorphisms of the random graph
... the automorphism group of the countable universal homogeneous graph is simple and this was placed in a general setting by Macpherson and Tent ...arising groups acting (in some sense) upon the countable ...
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Automorphism groups of superextensions of finite monogenic semigroups
... A b s t r ac t . A family L of subsets of a set X is called linked if A ∩ B 6 = ∅ for any A, B ∈ L . A linked family M of subsets of X is maximal linked if M coincides with each linked family L on X that contains M . The ...
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Suborbital graphs of the groups Cn ,Dn and UP and graphs whose automorphism groups contain the permutation groups Cn and Dn
... whose groups of automorphism contain ...whose automorphism groups contain ...whose groups of automorphism contain can therefore be calculated by the formula; ...
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Most primitive groups are full automorphism groups of edge transitive hypergraphs
... of automorphism groups of families of sets; for any set system admitting the alternating group admits the symmetric ...primitive groups, there are only finitely many other ...
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OD characterization of the automorphism groups of simple K3 groups
... non-isomorphic groups H satisfying conditions (1) | G | = | H | and (2) D(G) = ...those groups with connected prime graphs are somewhat much difficult to be ...the automorphism groups of simple ...
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Derived automorphism groups of K3 surfaces of Picard rank 1
... DERIVED AUTOMORPHISM GROUPS OF K3 SURFACES OF PICARD RANK 1 5 We then construct a flow on Stab∗ X which decreases wOx , and use it to contract −1 Stab∗ X onto the subset wO 0 of geometri[r] ...
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Topological 2 generation of automorphism groups of countable ultrahomogeneous graphs
... Darji and Mitchell [1] showed that for any non-identity element f ∈ Sym (ℤ) there is an element g ∈ Sym (ℤ) such that ⟨ f, g ⟩ is a dense subgroup of Sym (ℤ) . Analogous results for the group of automorphisms of the ...
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Mapping spaces and automorphism groups of toric noncommutative spaces
... ‘internalized’ automorphism groups of toric noncommutative spaces, there are many other applications and problems which can be addressed with our sheaf theory approach to toric noncommutative ...
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Most switching classes with primitive automorphism groups contain graphs with trivial groups
... The automorphism group of a switching class consists of all permutations of the vertex set which map the graphs of the class among ...The automorphism group of a switching class coincides with the ...
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Automorphism Groups Of Weakly Semi-Regular Bipartite Graphs
... of automorphism of graphs plays an important role in Graph ...the automorphism group of some families of bipartite graphs which are weakly ...the automorphism groups of the bipartite Kneser ...
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Normal structures and automorphism groups of t designs
... NORMAL STRUCTURES AND AUTOMORPHISM GROUPS OF t DESIGNS Thesis by Richard Neil Lane In Partial Fulfillment of the Requirements For the Degree of Doctor of Philosophy California Institute of Technology[.] ...
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GRAPHS WHOSE AUTOMORPHISM GROUPS CONTAIN THE ALTERNATING GROUPS
... We have shown our results as above and given examples of constructed graphs in Figure 1 & 2. The main result from our study has been expressed in lemma 1. Lemma 1 shows that in determining the number of graphs whose ...
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Kaluzhnin's representations of Sylow \(p\)-subgroups of automorphism groups of \(p\)-adic rooted trees
... by L. Kaluzhnin for p-elements of automorphism groups of either finite or infinite p-adic rooted trees. Some basic results on this notation and its properties are recalled here after [13]. We note that some ...
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Computing automorphism groups and isomorphism testing in finite groups
... To determine ∆ (7.1) in practice, we will need to construct a manageable representa- tion of Aut(R). As discussed in earlier chapters, computing representations of large automorphism groups is often ...
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Automorphism groups of metacyclic groups of class two
... familiar groups have arisen naturally in the form of automorphism groups of some mathematical and nonmathematical ...studying automorphism groups has grown there is no exception to the ...
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Assembling homology classes in automorphism groups of free groups
... of automorphism groups of free groups which gives fresh group theoretic and geometric insight into known families of homology classes, and also helps direct the search for new ...
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