### Abstract

The mod 2 Steenrod algebra A_{2} can be defined as the quotient of the mod 2 Leibniz–Hopf algebra F_{2} by the Adem relations. Dually, the mod 2 dual Steenrod algebra A2∗ can be thought of as a sub-Hopf algebra of the mod 2 dual Leibniz–Hopf algebra F2∗. We study A2∗ and F2∗ from this viewpoint and give generalisations of some classical results in the literature.

Original language | English |
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Pages (from-to) | 727-739 |

Number of pages | 13 |

Journal | Journal of Homotopy and Related Structures |

Volume | 12 |

Issue number | 3 |

DOIs | |

Publication status | Published - Sep 1 2017 |

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### All Science Journal Classification (ASJC) codes

- Algebra and Number Theory
- Geometry and Topology