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- W2951826178 abstract "Abstract We show, using acylindrical hyperbolicity, that a finitely generated group splitting over <m:math xmlns:m=http://www.w3.org/1998/Math/MathML> <m:mi>ℤ</m:mi> </m:math> ${mathbb{Z}}$ cannot be simple. We also obtain SQ-universality in most cases, for instance a balanced group (one where if two powers of an infinite order element are conjugate then they are equal or inverse) which is finitely generated and splits over <m:math xmlns:m=http://www.w3.org/1998/Math/MathML> <m:mi>ℤ</m:mi> </m:math> ${mathbb{Z}}$ must either be SQ-universal or it is one of exactly seven virtually abelian exceptions." @default.
- W2951826178 created "2019-06-27" @default.
- W2951826178 creator A5062534552 @default.
- W2951826178 date "2016-09-15" @default.
- W2951826178 modified "2023-09-25" @default.
- W2951826178 title "Acylindrical hyperbolicity, non-simplicity and SQhbox{-}universality of groups splitting over ℤ" @default.
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- W2951826178 doi "https://doi.org/10.1515/jgth-2016-0045" @default.
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