Results 21 to 30 of about 9,504,920 (193)
A generalization of Pappus graph
Electronic Journal of Graph Theory and Applications, 2022 In this paper, we introduce a new family of cubic graphs Γ(m), called Generalized Pappus graphs, where m ≥ 3. We compute the automorphism group of Γ(m) and characterize when it is a Cayley graph.
Sucharita Biswas, Angsuman Das
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ON THE GROWTH OF GROUPS AND AUTOMORPHISMS [PDF]
International Journal of Algebra and Computation, 2005 We consider the growth functions βΓ(n) of amalgamated free products Γ = A *C B, where A ≅ B are finitely generated, C is free abelian and |A/C| = |A/B| = 2. For every d ∈ ℕ there exist examples with βΓ(n) ≃ nd+1βA(n). There also exist examples with βΓ(n) ≃ en. Similar behavior is exhibited among Dehn functions.
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Automorphisms of the Dihedral Groups [PDF]
Proceedings of the National Academy of Sciences, 1942 Not ...
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Description of the automorphism groups of some Leibniz algebras
Researches in Mathematics, 2023 Let $L$ be an algebra over a field $F$ with the binary operations $+$ and $[,]$. Then $L$ is called a left Leibniz algebra if it satisfies the left Leibniz identity: $[[a,b],c]=[a,[b,c]]-[b,[a,c]]$ for all elements $a,b,c\in L$.
L.A. Kurdachenko, O.O. Pypka, M.M. Semko
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On Groups of Automorphism of Lie Groups [PDF]
Proceedings of the National Academy of Sciences, 1944 Not ...
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FINITE $p$-GROUPS WITH SMALL AUTOMORPHISM GROUP
Forum of Mathematics, Sigma, 2015 For each prime $p$ we construct a family $\{G_{i}\}$ of finite $p$-groups such that $|\text{Aut}(G_{i})|/|G_{i}|$ tends to zero as $i$ tends to infinity.
JON GONZÁLEZ-SÁNCHEZ +1 more
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Possible Groups of Automorphisms [PDF]
Proceedings of the National Academy of Sciences, 1943 Not ...
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FREE GROUPS AND AUTOMORPHISM GROUPS OF INFINITE STRUCTURES
Forum of Mathematics, Sigma, 2014 Given a cardinal $\lambda $ with $\lambda =\lambda ^{\aleph _0}$
PHILIPP LÜCKE, SAHARON SHELAH
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Class-preserving Coleman automorphisms of some classes of finite groups
Open Mathematics, 2022 The normalizer problem of integral group rings has been studied extensively in recent years due to its connection with the longstanding isomorphism problem of integral group rings.
Hai Jingjing, Li Zhengxing, Ling Xian
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Characterizing Inner Automorphisms and Realizing Outer Automorphisms [PDF]
Advances in Group Theory and ApplicationsWe give elementary proofs of the following two theorems on automorphisms of a finite group G: (1) An automorphism of G is inner if and only if it extends to an automorphism of every finite group containing G.
Benjamin Sambale
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