Results 111 to 120 of about 121,014 (235)

Automorphisms of groups

open access: yesJournal of Algebra, 2007
Let \({\mathcal E}\colon N\rightarrowtail G\twoheadrightarrow Q\) be a group extension with coupling \(\chi\colon Q\to\text{Out\,}N\). If \(\Aut\,{\mathcal E}=\{\gamma\in\Aut\,G\mid N^\gamma=N\}\), \(\text{Comp}(\chi)\) the group of all compatible pairs for \(\chi\) and \(A\) the center of \(N\) regarded as a \(Q\)-module via \(\chi\) then it is known [
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On topological groups of automorphisms

open access: yesApplied General Topology
We study spaces X for which the space Homp(X) of automorphisms with the topology of point-wise convergence is a topological group. We identify large classes of spaces X for which Homp(X) is or is not a topological group.
Raushan Buzyakova
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Deficiency One Parallelisms of PG(5, 2)

open access: yesMathematics
A spread in PG(n, q) is a set of lines such that each point is in exactly one line. A parallelism is a partition of the set of lines of PG(n, q) to spreads. A deficiency one parallelism is a parallelism with exactly one missing spread.
Svetlana Topalova, Stela Zhelezova
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AUTOMORPHISM COMMUTATORS [PDF]

open access: yesProceedings of the National Academy of Sciences, 1929
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