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2011•Unpublished venueRequires access

On the Structure of Some Groups Containing L2(13) wr L2(17)

Basmah H. Shafee

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Abstract

In this paper, we will generate the wreath product)17()13 ( 22 LwrL using only two permutations. Also, we will show the structure of some groups containing the wreath product)17()13 ( 22 LwrL. The structure of the groups founded is determined in terms of wreath product kCwrLwrL))17()13( ( 22. Some related cases are also included. Also, we will show that 1252 +kS and 1252 +KA can be generated using the wreath product kCwrLwrL))17()13( ( 22 and a transposition in 1252 +kS and an element of order 3 in 1252 +KA. We will also show that 1252 +kS and 1252 +KA can be generated using the wreath product)17()13 ( 22 LwrL and an element of order 1k +.

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What this paper is about

In this paper, we will generate the wreath product)17()13 ( 22 LwrL using only two permutations. Also, we will show the structure of some groups containing the wreath product)17()13 ( 22 LwrL. The structure of the groups founded is determined in terms of wreath product kCwrLwrL))17()13( ( 22. Some related cases are also included. Also, we will show that 1252 +kS and 1252 +KA can be generated using the wreath product kCwrLwrL))17()13( ( 22 and a transposition in 1252 +kS and an element of order 3 in 1252 +KA. We will also show that 1252 +kS and 1252 +KA can be generated using the wreath product)17()13 ( 22 LwrL and an element of order 1k +.

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Available abstract

In this paper, we will generate the wreath product)17()13 ( 22 LwrL using only two permutations. Also, we will show the structure of some groups containing the wreath product)17()13 ( 22 LwrL. The structure of the groups founded is determined in terms of wreath product kCwrLwrL))17()13( ( 22. Some related cases are also included. Also, we will show that 1252 +kS and 1252 +KA can be generated using the wreath product kCwrLwrL))17()13( ( 22 and a transposition in 1252 +kS and an element of order 3 in 1252 +KA. We will also show that 1252 +kS and 1252 +KA can be generated using the wreath product)17()13 ( 22 LwrL and an element of order 1k +.

Key concepts: Wreath product, Mathematics, Product (mathematics), Element (criminal law), Combinatorics, Order (exchange), Geometry, Finance

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On the Structure of Some Groups Containing L2(13) wr L2(17) — Research Paper | ScholarLens