The high priest's grave, Chichen Itza, Yucatan, Mexico; a manuscript

Thompson, Edward H.; Thompson, J. Eric S.

doi:10.5962/bhl.title.3502

Cited by 24 publications

(25 citation statements)

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“…Museum when J. E. S. Thompson was a curator of anthropology, and the bowl recovered from the cenote was traded to the Museum by the Peabody Museum of Anthropology in 1932 (Thompson, 1938). These Maya Blue samples were analyzed using the Field Museum's on-site LA-ICP-MS equipment using a technique similar to that of IIRMES except that the Field Museum analyses used NIST Standard 610 and Brick Clay (Dussubieux et al, 2007; Online Table S4).…”

Section: Analyses Of Maya Bluementioning

confidence: 99%

“…The Field Museum Maya Blue samples came from pottery that was originally collected by Edward H. Thompson at Chichén Itzá ( Fig. 1) when he excavated the Grave of the High Priest in 1897, and from a bowl recovered during dredging of the sacred cenote in 1904 (Thompson, 1938; Table 1). The material from the Grave of the High Priest was acquired by the Field Table 1 Descriptions and provenience data of Maya Blue samples analyzed by LA-ICP-MS from the collection in the Field Museum.…”

Section: Analyses Of Maya Bluementioning

confidence: 99%

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The first direct evidence of pre-columbian sources of palygorskite for Maya Blue

Arnold

Bohor

Neff

et al. 2012

Journal of Archaeological Science

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Section: Analyses Of Maya Bluementioning

confidence: 99%

Section: Analyses Of Maya Bluementioning

confidence: 99%

The first direct evidence of pre-columbian sources of palygorskite for Maya Blue

Arnold

Bohor

Neff

et al. 2012

Journal of Archaeological Science

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“…Theorem 2.7 [3,18]. If H is a composition factor of a rational group, then H is isomorphic to one of the following:…”

Section: Rational Groupsmentioning

confidence: 99%

On groups with conjugacy classes of distinct sizes

2004

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A finite group G is called an ah-group if any two distinct conjugacy classes of G have distinct cardinality. We show that if G is an ah-group, then the non-abelian socle of G is isomorphic to one of the following: 1. A a 5 , for 1 a 5, a = 2. 2. A 8 . 3. PSL(3, 4) e , for 1 e 10. 4. A 5 × PSL(3, 4) e , for 1 e 10.Based on this result, we virtually show that if G is an ah-group with π(G) {2, 3, 5, 7}, then F (G) = 1, or equivalently, that G has an abelian normal subgroup.In addition, we show that if G is an ah-group of minimal size which is not isomorphic to S 3 , then the non-abelian socle of G is either trivial or isomorphic to one of the following: 1. A a 5 , for 3 a 5. 2. PSL(3, 4) e , for 1 e 10.Our research lead us to interesting results related to transitivity and homogeneousity in permutation groups, and to subgroups of wreath products of form Z 2 S n . These results are of independent interest and are located in appendices for greater autonomy.

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“…We will use the well-known finitely presented subgroups F k,1 and T k,1 of G k,1 , introduced in [24] and [16]. The groups F 2,1 (also called F ) and T 2,1 (also called T ) have a large literature; a few examples are [20], [20,25], [4], [9], [13], [7], [10], [5], [6], [14], [8].…”

Section: Definition Of the Thompson-higman Groupmentioning

confidence: 99%

“…Thompson [24,20,25], and their generalization by Graham Higman [16], are well known for their amazing properties and their importance in combinatorial group theory and topology. In this paper we focus on the computational role of these groups, continuing the work started in [2,3], and we study some subgroups of the Thompson-Higman groups that are motivated by circuit complexity.…”

Section: Introductionmentioning

confidence: 99%

Factorizations of the Thompson–higman Groups, and Circuit Complexity

Birget

2008

Int. J. Algebra Comput.

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We consider the subgroup lpG k,1 of length preserving elements of the Thompson-Higman group G k,1 and we show that all elements of G k,1 have a unique lpG k,1 · F k,1 factorization. This applies to the Thompson-Higman group T k,1 as well. We show that lpG k,1 is a "diagonal" direct limit of finite symmetric groups, and that lpT k,1 is a k ∞ Prüfer group. We find an infinite generating set of lpG k,1 which is related to reversible boolean circuits.We further investigate connections between the Thompson-Higman groups, circuits, and complexity. We show that elements of F k,1 cannot be one-way functions. We show that describing an element of G k,1 by a generalized bijective circuit is equivalent to describing the element by a word over a certain infinite generating set of G k,1 ; word length over these generators is equivalent to generalized bijective circuit size.We give some coNP-completeness results for G k,1 (e.g., the word problem when elements are given by circuits), and #P-completeness results (e.g., finding the lpG k,1 · F k,1 factorization of an element of G k,1 given by a circuit).

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The high priest's grave, Chichen Itza, Yucatan, Mexico; a manuscript

Cited by 24 publications

References 0 publications

The first direct evidence of pre-columbian sources of palygorskite for Maya Blue

The first direct evidence of pre-columbian sources of palygorskite for Maya Blue

On groups with conjugacy classes of distinct sizes

Factorizations of the Thompson–higman Groups, and Circuit Complexity

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