Results 31 to 40 of about 30,476 (209)
Automorphisms of graph products of groups from a geometric perspective [PDF]
, 2019 This article studies automorphism groups of graph products of arbitrary groups. We completely characterise automorphisms that preserve the set of conjugacy classes of vertex groups as those automorphisms that can be decomposed as a product of certain ...
Genevois, Anthony, Martin, Alexandre
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Not quite inner automorphisms [PDF]
Bulletin of the Australian Mathematical Society, 1981 A question asked by G. Kowol is answered by the construction, to an arbitrarily given natural number n, of groups G with automorphisms that agree with inner automorphisms on each set of fewer than n elements of G, but fail to agree with any inner automorphism on at least one set of n elements.
openaire +2 more sources
On normal automorphisms of n-periodic products of finite cyclic groups [PDF]
International Journal of Group Theory, 2013 We prove that each normal automorphism of the$n$-periodic product of cyclic groups of odd order$rge1003$ is inner, whenever $r$ divides $n$.
Ashot Pahlevanyan +3 more
doaj
Separable subalgebras of a class of Azumaya algebras
International Journal of Mathematics and Mathematical Sciences, 1998 Let S be a ring with 1, C the center of S, G a finite automorphism group of S of order n invertible in S, and SG the subnng of elements of S fixed under each element in G. It is shown that the skew group ring S*G is a G′-Galois extension of (S*G)G′ that
George Szeto
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Deconfinement to confinement as PT phase transition
Nuclear Physics B, 2019 We consider SU(N) QCD in a new quadratic gauge which highlights certain characteristic of the theory in the non-perturbative sector. By considering natural hermiticity property of the ghost fields we cast this model as non-Hermitian but symmetric under ...
Haresh Raval, Bhabani Prasad Mandal
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Automorphisms and derivations of upper triangular matrix rings [PDF]
, 1995 Kezlan proved that for a commutative ring C, every C-automorphism of the ring of upper triangular matrices over C is inner. We generalize this result to rings in which all idempotents are central; moreover we show that for a semiprime ring A and central ...
Jøndrup, S.
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Affine inner automorphisms of $SU(2)$
Tsukuba Journal of Mathematics, 1999 Let \(SU(2)\) be endowed with an arbitrary left invariant metric \(g\). Necessary and sufficient conditions for an inner automorphism to be harmonic or an affine transformation, are given here. The geodesics are studied at the end.
Ki, U-Hang, Park, Joon-Sik
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Every group has a terminating transfinite automorphism tower
, 1998 The automorphism tower of a group is obtained by computing its automorphism group, the automorphism group of THAT group, and so on, iterating transfinitely.
Hamkins, Joel David
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The embedding structure and the shift operator of the U(1) lattice current algebra [PDF]
, 1995 The structure of block-spin embeddings of the U(1) lattice current algebra is described. For an odd number of lattice sites, the inner realizations of the shift automorphism areclassified.
A. Recknagel +8 more
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On central commutator Galois extensions of rings
International Journal of Mathematics and Mathematical Sciences, 2000 Let B be a ring with 1, G a finite automorphism group of B of order n for some integer n, BG the set of elements in B fixed under each element in G, and Δ=VB(BG) the commutator subring of BG in B.
George Szeto, Lianyong Xue
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