AOMEA combines MARL training with an organizational model, letting engineers extract suggested roles, links, and missions from trained agent behavior.
Invariable generation and the Houghton groups
1 Pith paper cite this work. Polarity classification is still indexing.
abstract
The Houghton groups $H_1, H_2, \ldots$ are a family of infinite groups. In 1975 Wiegold showed that $H_3$ was invariably generated (IG) but $H_1\le H_3$ was not. A natural question is then whether the groups $H_2, H_3, \ldots$ are all IG. Wiegold also ends by saying that, in the examples he had found of an IG group with a subgroup that is not IG, the subgroup was never of finite index. Another natural question is then whether there is a subgroup of finite index in $H_3$ that is not IG. In this note we prove, for each $n\in \{2, 3, \ldots\}$, that $H_n$ and all of its finite index subgroups are IG. The independent work of Minasyan and Goffer-Lazarovich in June 2020 frames this note quite nicely: they showed that an IG group can have a finite index subgroup that is not IG.
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cs.MA 1years
2025 1verdicts
CONDITIONAL 1representative citing papers
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A MARL-based Approach for Easing MAS Organization Engineering
AOMEA combines MARL training with an organizational model, letting engineers extract suggested roles, links, and missions from trained agent behavior.