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The symmetries of McCullough-Miller space
Репозиторій DSpace/Manakin
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The symmetries of McCullough-Miller space
Інший ID:
2010 MSC:20E36; 05E18.
Посилання:
The symmetries of McCullough-Miller space / A. Piggott // Algebra and Discrete Mathematics. — 2012. — Vol. 14, № 2. — С. 239–266. — Бібліогр.: 7 назв. — англ.
Підтримка:
Thanks to Murray Elder, and the University of Newcastle, Australia, for their hospitality as this paper was written. Thanks to Andy Eisenberg, and the anonymous referee, for carefully reading the paper, and suggesting improvements.
Дата:
2012
Переглядів:
458
Завантажень:
153
Анотація:
We prove that if W is the free product of at least four groups of order 2, then the automorphism group of the McCullough-Miller space corresponding to W is isomorphic to group of outer automorphisms of W. We also prove that, for each integer n ≥ 3, the automorphism group of the hypertree complex of rank n is isomorphic to the symmetric group of rank n.
