Results 91 to 100 of about 9,251 (245)
Holomorphic field theories and higher algebra
Bulletin of the London Mathematical Society, Volume 57, Issue 10, Page 2903-2974, October 2025.Abstract Aimed at complex geometers and representation theorists, this survey explores higher dimensional analogs of the rich interplay between Riemann surfaces, Virasoro and Kac‐Moody Lie algebras, and conformal blocks. We introduce a panoply of examples from physics — field theories that are holomorphic in nature, such as holomorphic Chern‐Simons ...
Owen Gwilliam, Brian R. Williams
wiley +1 more source
On the automorphism group of a tree
Journal of Combinatorial Theory, Series B, 1977 AbstractIt is shown that H = Γ(T)v is normal in G = Γ(Tv) for any tree T and any vertex v, if and only if, for all vertices u in the neighborhood N of v, the set of images of u under G is either contained in N or has precisely the vertex u in common with N and every vertex in the set of images is fixed by H.
Derek A. Holton, Kaye Stacey
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The conjugacy problem for ascending HNN‐extensions of free groups
Proceedings of the London Mathematical Society, Volume 131, Issue 4, October 2025.Abstract We give an algorithm to solve the Conjugacy Problem for ascending HNN‐extensions of free groups. To do this, we give algorithms to solve certain problems on dynamics of free group endomorphisms.
Alan D. Logan
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Automorphism groups of 2-groups
Journal of Algebra, 2006 AbstractA well-known conjecture on p-groups states that every non-abelian p-group G has the property that |G| divides |Aut(G)|. We exhibit periodic patterns in the automorphism group orders of the 2-groups of fixed coclass and we use this to show that for every positive integer r there are at most finitely many counterexamples to the conjecture among ...
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A reduction theorem for the Character Triple Conjecture
Proceedings of the London Mathematical Society, Volume 131, Issue 4, October 2025.Abstract In this paper, we show that the Character Triple Conjecture holds for all finite groups once assumed for all quasi‐simple groups. This answers the question on the existence of a self‐reducing form of Dade's conjecture, a problem that was extensively investigated by Dade in the 1990s.
Damiano Rossi
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3-Homogeneous Groups and Block-Transitive 7–(v, k, 3) Designs
Mathematical and Computational Applications, 2017 The classification of a block-transitive designs is an important subject on algebraic combinatorics. With the aid of MATLAB software, using the classification theorem of 3-homogeneous permutation groups, we look at the classification problem of block ...
Xiaolian Liao, Guohua Chen, Shangzhao Li
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Automorphisms of the Nottingham Group
Journal of Algebra, 2000 Let \(K\) be a finite field of characteristic \(p\). The Nottingham group over \(K\) can be defined as the group \({\mathcal N}(K):=t+t^2K[[t]]\) of normalised power series under substitution. It is a finitely-generated pro-\(p\) group with some interesting properties [see the survey article in the book ``New horizons in pro-\(p\) groups'', Birkhäuser,
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Automorphisms of Coxeter groups [PDF]
Transactions of the American Mathematical Society, 2005 16 pages, no figures. Submitted to Trans. Amer.
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Commutative Extension of Partial Automorphisms of Groups [PDF]
, 1953 C. G. Chehata
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